Vertex Equitable Labeling of Signed Bistars
Abstract A signed graph%$S=(S^u,\sigma )%$ has a graph %$S^u%$ and a function %$\sigma :E(S^u)\longrightarrow \{+,-\}%$. Let S has q edges and %${\mathcal {A}} = \{0,1,2,\ldots , \lceil \frac{q}{2}\rceil \}%$. A vertex labeling %$f:V(S)\longrightarrow {\mathcal {A}}%$ which is onto, is said to be a...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Jain, Rashmi [verfasserIn] Acharya, Mukti [verfasserIn] Kansal, Sangita [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: National Academy science letters - [New Delhi] : Springer India, 2012, 41(2018), 4 vom: 18. Juli, Seite 239-242 |
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| Übergeordnetes Werk: |
volume:41 ; year:2018 ; number:4 ; day:18 ; month:07 ; pages:239-242 |
| Links: |
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| DOI / URN: |
10.1007/s40009-018-0641-2 |
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| Katalog-ID: |
SPR032617909 |
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| 520 | |a Abstract A signed graph%$S=(S^u,\sigma )%$ has a graph %$S^u%$ and a function %$\sigma :E(S^u)\longrightarrow \{+,-\}%$. Let S has q edges and %${\mathcal {A}} = \{0,1,2,\ldots , \lceil \frac{q}{2}\rceil \}%$. A vertex labeling %$f:V(S)\longrightarrow {\mathcal {A}}%$ which is onto, is said to be a vertex equitable labeling of S if it induces a bijective edge labeling %$f^*:E(S)\longrightarrow \{1,2,\ldots ,{\mathfrak {m}},-1,-2,\ldots ,-{\mathfrak {n}}\}%$ defined by %$f^*(uv) = \sigma (uv)(f(u)+f(v))%$ such that %$|v_f(a)-v_f(b)|\le 1%$, %$\forall a, b\in {\mathcal {A}}%$, where %$v_f(a)%$ is the number of vertices with %$f(v) = a%$ and %${\mathfrak {m}}, {\mathfrak {n}}%$ are number of positive and negative edges respectively in S. A signed graph S is said to be vertex equitable if it admits a vertex equitable labeling. In this paper, we study vertex equitable behavior of signed bistars. | ||
| 650 | 4 | |a Vertex equitable labeling |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Vertex equitable signed graph |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Bistar |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Acharya, Mukti |e verfasserin |4 aut | |
| 700 | 1 | |a Kansal, Sangita |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t National Academy science letters |d [New Delhi] : Springer India, 2012 |g 41(2018), 4 vom: 18. Juli, Seite 239-242 |w (DE-627)722236689 |w (DE-600)2677544-X |x 2250-1754 |7 nnns |
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10.1007/s40009-018-0641-2 doi (DE-627)SPR032617909 (SPR)s40009-018-0641-2-e DE-627 ger DE-627 rakwb eng 500 ASE Jain, Rashmi verfasserin aut Vertex Equitable Labeling of Signed Bistars 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A signed graph%$S=(S^u,\sigma )%$ has a graph %$S^u%$ and a function %$\sigma :E(S^u)\longrightarrow \{+,-\}%$. Let S has q edges and %${\mathcal {A}} = \{0,1,2,\ldots , \lceil \frac{q}{2}\rceil \}%$. A vertex labeling %$f:V(S)\longrightarrow {\mathcal {A}}%$ which is onto, is said to be a vertex equitable labeling of S if it induces a bijective edge labeling %$f^*:E(S)\longrightarrow \{1,2,\ldots ,{\mathfrak {m}},-1,-2,\ldots ,-{\mathfrak {n}}\}%$ defined by %$f^*(uv) = \sigma (uv)(f(u)+f(v))%$ such that %$|v_f(a)-v_f(b)|\le 1%$, %$\forall a, b\in {\mathcal {A}}%$, where %$v_f(a)%$ is the number of vertices with %$f(v) = a%$ and %${\mathfrak {m}}, {\mathfrak {n}}%$ are number of positive and negative edges respectively in S. A signed graph S is said to be vertex equitable if it admits a vertex equitable labeling. In this paper, we study vertex equitable behavior of signed bistars. Vertex equitable labeling (dpeaa)DE-He213 Vertex equitable signed graph (dpeaa)DE-He213 Bistar (dpeaa)DE-He213 Acharya, Mukti verfasserin aut Kansal, Sangita verfasserin aut Enthalten in National Academy science letters [New Delhi] : Springer India, 2012 41(2018), 4 vom: 18. Juli, Seite 239-242 (DE-627)722236689 (DE-600)2677544-X 2250-1754 nnns volume:41 year:2018 number:4 day:18 month:07 pages:239-242 https://dx.doi.org/10.1007/s40009-018-0641-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 41 2018 4 18 07 239-242 |
| spelling |
10.1007/s40009-018-0641-2 doi (DE-627)SPR032617909 (SPR)s40009-018-0641-2-e DE-627 ger DE-627 rakwb eng 500 ASE Jain, Rashmi verfasserin aut Vertex Equitable Labeling of Signed Bistars 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A signed graph%$S=(S^u,\sigma )%$ has a graph %$S^u%$ and a function %$\sigma :E(S^u)\longrightarrow \{+,-\}%$. Let S has q edges and %${\mathcal {A}} = \{0,1,2,\ldots , \lceil \frac{q}{2}\rceil \}%$. A vertex labeling %$f:V(S)\longrightarrow {\mathcal {A}}%$ which is onto, is said to be a vertex equitable labeling of S if it induces a bijective edge labeling %$f^*:E(S)\longrightarrow \{1,2,\ldots ,{\mathfrak {m}},-1,-2,\ldots ,-{\mathfrak {n}}\}%$ defined by %$f^*(uv) = \sigma (uv)(f(u)+f(v))%$ such that %$|v_f(a)-v_f(b)|\le 1%$, %$\forall a, b\in {\mathcal {A}}%$, where %$v_f(a)%$ is the number of vertices with %$f(v) = a%$ and %${\mathfrak {m}}, {\mathfrak {n}}%$ are number of positive and negative edges respectively in S. A signed graph S is said to be vertex equitable if it admits a vertex equitable labeling. In this paper, we study vertex equitable behavior of signed bistars. Vertex equitable labeling (dpeaa)DE-He213 Vertex equitable signed graph (dpeaa)DE-He213 Bistar (dpeaa)DE-He213 Acharya, Mukti verfasserin aut Kansal, Sangita verfasserin aut Enthalten in National Academy science letters [New Delhi] : Springer India, 2012 41(2018), 4 vom: 18. Juli, Seite 239-242 (DE-627)722236689 (DE-600)2677544-X 2250-1754 nnns volume:41 year:2018 number:4 day:18 month:07 pages:239-242 https://dx.doi.org/10.1007/s40009-018-0641-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 41 2018 4 18 07 239-242 |
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10.1007/s40009-018-0641-2 doi (DE-627)SPR032617909 (SPR)s40009-018-0641-2-e DE-627 ger DE-627 rakwb eng 500 ASE Jain, Rashmi verfasserin aut Vertex Equitable Labeling of Signed Bistars 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A signed graph%$S=(S^u,\sigma )%$ has a graph %$S^u%$ and a function %$\sigma :E(S^u)\longrightarrow \{+,-\}%$. Let S has q edges and %${\mathcal {A}} = \{0,1,2,\ldots , \lceil \frac{q}{2}\rceil \}%$. A vertex labeling %$f:V(S)\longrightarrow {\mathcal {A}}%$ which is onto, is said to be a vertex equitable labeling of S if it induces a bijective edge labeling %$f^*:E(S)\longrightarrow \{1,2,\ldots ,{\mathfrak {m}},-1,-2,\ldots ,-{\mathfrak {n}}\}%$ defined by %$f^*(uv) = \sigma (uv)(f(u)+f(v))%$ such that %$|v_f(a)-v_f(b)|\le 1%$, %$\forall a, b\in {\mathcal {A}}%$, where %$v_f(a)%$ is the number of vertices with %$f(v) = a%$ and %${\mathfrak {m}}, {\mathfrak {n}}%$ are number of positive and negative edges respectively in S. A signed graph S is said to be vertex equitable if it admits a vertex equitable labeling. In this paper, we study vertex equitable behavior of signed bistars. Vertex equitable labeling (dpeaa)DE-He213 Vertex equitable signed graph (dpeaa)DE-He213 Bistar (dpeaa)DE-He213 Acharya, Mukti verfasserin aut Kansal, Sangita verfasserin aut Enthalten in National Academy science letters [New Delhi] : Springer India, 2012 41(2018), 4 vom: 18. Juli, Seite 239-242 (DE-627)722236689 (DE-600)2677544-X 2250-1754 nnns volume:41 year:2018 number:4 day:18 month:07 pages:239-242 https://dx.doi.org/10.1007/s40009-018-0641-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 41 2018 4 18 07 239-242 |
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10.1007/s40009-018-0641-2 doi (DE-627)SPR032617909 (SPR)s40009-018-0641-2-e DE-627 ger DE-627 rakwb eng 500 ASE Jain, Rashmi verfasserin aut Vertex Equitable Labeling of Signed Bistars 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A signed graph%$S=(S^u,\sigma )%$ has a graph %$S^u%$ and a function %$\sigma :E(S^u)\longrightarrow \{+,-\}%$. Let S has q edges and %${\mathcal {A}} = \{0,1,2,\ldots , \lceil \frac{q}{2}\rceil \}%$. A vertex labeling %$f:V(S)\longrightarrow {\mathcal {A}}%$ which is onto, is said to be a vertex equitable labeling of S if it induces a bijective edge labeling %$f^*:E(S)\longrightarrow \{1,2,\ldots ,{\mathfrak {m}},-1,-2,\ldots ,-{\mathfrak {n}}\}%$ defined by %$f^*(uv) = \sigma (uv)(f(u)+f(v))%$ such that %$|v_f(a)-v_f(b)|\le 1%$, %$\forall a, b\in {\mathcal {A}}%$, where %$v_f(a)%$ is the number of vertices with %$f(v) = a%$ and %${\mathfrak {m}}, {\mathfrak {n}}%$ are number of positive and negative edges respectively in S. A signed graph S is said to be vertex equitable if it admits a vertex equitable labeling. In this paper, we study vertex equitable behavior of signed bistars. Vertex equitable labeling (dpeaa)DE-He213 Vertex equitable signed graph (dpeaa)DE-He213 Bistar (dpeaa)DE-He213 Acharya, Mukti verfasserin aut Kansal, Sangita verfasserin aut Enthalten in National Academy science letters [New Delhi] : Springer India, 2012 41(2018), 4 vom: 18. Juli, Seite 239-242 (DE-627)722236689 (DE-600)2677544-X 2250-1754 nnns volume:41 year:2018 number:4 day:18 month:07 pages:239-242 https://dx.doi.org/10.1007/s40009-018-0641-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 41 2018 4 18 07 239-242 |
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10.1007/s40009-018-0641-2 doi (DE-627)SPR032617909 (SPR)s40009-018-0641-2-e DE-627 ger DE-627 rakwb eng 500 ASE Jain, Rashmi verfasserin aut Vertex Equitable Labeling of Signed Bistars 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A signed graph%$S=(S^u,\sigma )%$ has a graph %$S^u%$ and a function %$\sigma :E(S^u)\longrightarrow \{+,-\}%$. Let S has q edges and %${\mathcal {A}} = \{0,1,2,\ldots , \lceil \frac{q}{2}\rceil \}%$. A vertex labeling %$f:V(S)\longrightarrow {\mathcal {A}}%$ which is onto, is said to be a vertex equitable labeling of S if it induces a bijective edge labeling %$f^*:E(S)\longrightarrow \{1,2,\ldots ,{\mathfrak {m}},-1,-2,\ldots ,-{\mathfrak {n}}\}%$ defined by %$f^*(uv) = \sigma (uv)(f(u)+f(v))%$ such that %$|v_f(a)-v_f(b)|\le 1%$, %$\forall a, b\in {\mathcal {A}}%$, where %$v_f(a)%$ is the number of vertices with %$f(v) = a%$ and %${\mathfrak {m}}, {\mathfrak {n}}%$ are number of positive and negative edges respectively in S. A signed graph S is said to be vertex equitable if it admits a vertex equitable labeling. In this paper, we study vertex equitable behavior of signed bistars. Vertex equitable labeling (dpeaa)DE-He213 Vertex equitable signed graph (dpeaa)DE-He213 Bistar (dpeaa)DE-He213 Acharya, Mukti verfasserin aut Kansal, Sangita verfasserin aut Enthalten in National Academy science letters [New Delhi] : Springer India, 2012 41(2018), 4 vom: 18. Juli, Seite 239-242 (DE-627)722236689 (DE-600)2677544-X 2250-1754 nnns volume:41 year:2018 number:4 day:18 month:07 pages:239-242 https://dx.doi.org/10.1007/s40009-018-0641-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 41 2018 4 18 07 239-242 |
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Jain, Rashmi @@aut@@ Acharya, Mukti @@aut@@ Kansal, Sangita @@aut@@ |
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Let S has q edges and %${\mathcal {A}} = \{0,1,2,\ldots , \lceil \frac{q}{2}\rceil \}%$. A vertex labeling %$f:V(S)\longrightarrow {\mathcal {A}}%$ which is onto, is said to be a vertex equitable labeling of S if it induces a bijective edge labeling %$f^*:E(S)\longrightarrow \{1,2,\ldots ,{\mathfrak {m}},-1,-2,\ldots ,-{\mathfrak {n}}\}%$ defined by %$f^*(uv) = \sigma (uv)(f(u)+f(v))%$ such that %$|v_f(a)-v_f(b)|\le 1%$, %$\forall a, b\in {\mathcal {A}}%$, where %$v_f(a)%$ is the number of vertices with %$f(v) = a%$ and %${\mathfrak {m}}, {\mathfrak {n}}%$ are number of positive and negative edges respectively in S. A signed graph S is said to be vertex equitable if it admits a vertex equitable labeling. 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| author |
Jain, Rashmi |
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Jain, Rashmi ddc 500 misc Vertex equitable labeling misc Vertex equitable signed graph misc Bistar Vertex Equitable Labeling of Signed Bistars |
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500 ASE Vertex Equitable Labeling of Signed Bistars Vertex equitable labeling (dpeaa)DE-He213 Vertex equitable signed graph (dpeaa)DE-He213 Bistar (dpeaa)DE-He213 |
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ddc 500 misc Vertex equitable labeling misc Vertex equitable signed graph misc Bistar |
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ddc 500 misc Vertex equitable labeling misc Vertex equitable signed graph misc Bistar |
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Vertex Equitable Labeling of Signed Bistars |
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Vertex Equitable Labeling of Signed Bistars |
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Jain, Rashmi Acharya, Mukti Kansal, Sangita |
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vertex equitable labeling of signed bistars |
| title_auth |
Vertex Equitable Labeling of Signed Bistars |
| abstract |
Abstract A signed graph%$S=(S^u,\sigma )%$ has a graph %$S^u%$ and a function %$\sigma :E(S^u)\longrightarrow \{+,-\}%$. Let S has q edges and %${\mathcal {A}} = \{0,1,2,\ldots , \lceil \frac{q}{2}\rceil \}%$. A vertex labeling %$f:V(S)\longrightarrow {\mathcal {A}}%$ which is onto, is said to be a vertex equitable labeling of S if it induces a bijective edge labeling %$f^*:E(S)\longrightarrow \{1,2,\ldots ,{\mathfrak {m}},-1,-2,\ldots ,-{\mathfrak {n}}\}%$ defined by %$f^*(uv) = \sigma (uv)(f(u)+f(v))%$ such that %$|v_f(a)-v_f(b)|\le 1%$, %$\forall a, b\in {\mathcal {A}}%$, where %$v_f(a)%$ is the number of vertices with %$f(v) = a%$ and %${\mathfrak {m}}, {\mathfrak {n}}%$ are number of positive and negative edges respectively in S. A signed graph S is said to be vertex equitable if it admits a vertex equitable labeling. In this paper, we study vertex equitable behavior of signed bistars. |
| abstractGer |
Abstract A signed graph%$S=(S^u,\sigma )%$ has a graph %$S^u%$ and a function %$\sigma :E(S^u)\longrightarrow \{+,-\}%$. Let S has q edges and %${\mathcal {A}} = \{0,1,2,\ldots , \lceil \frac{q}{2}\rceil \}%$. A vertex labeling %$f:V(S)\longrightarrow {\mathcal {A}}%$ which is onto, is said to be a vertex equitable labeling of S if it induces a bijective edge labeling %$f^*:E(S)\longrightarrow \{1,2,\ldots ,{\mathfrak {m}},-1,-2,\ldots ,-{\mathfrak {n}}\}%$ defined by %$f^*(uv) = \sigma (uv)(f(u)+f(v))%$ such that %$|v_f(a)-v_f(b)|\le 1%$, %$\forall a, b\in {\mathcal {A}}%$, where %$v_f(a)%$ is the number of vertices with %$f(v) = a%$ and %${\mathfrak {m}}, {\mathfrak {n}}%$ are number of positive and negative edges respectively in S. A signed graph S is said to be vertex equitable if it admits a vertex equitable labeling. In this paper, we study vertex equitable behavior of signed bistars. |
| abstract_unstemmed |
Abstract A signed graph%$S=(S^u,\sigma )%$ has a graph %$S^u%$ and a function %$\sigma :E(S^u)\longrightarrow \{+,-\}%$. Let S has q edges and %${\mathcal {A}} = \{0,1,2,\ldots , \lceil \frac{q}{2}\rceil \}%$. A vertex labeling %$f:V(S)\longrightarrow {\mathcal {A}}%$ which is onto, is said to be a vertex equitable labeling of S if it induces a bijective edge labeling %$f^*:E(S)\longrightarrow \{1,2,\ldots ,{\mathfrak {m}},-1,-2,\ldots ,-{\mathfrak {n}}\}%$ defined by %$f^*(uv) = \sigma (uv)(f(u)+f(v))%$ such that %$|v_f(a)-v_f(b)|\le 1%$, %$\forall a, b\in {\mathcal {A}}%$, where %$v_f(a)%$ is the number of vertices with %$f(v) = a%$ and %${\mathfrak {m}}, {\mathfrak {n}}%$ are number of positive and negative edges respectively in S. A signed graph S is said to be vertex equitable if it admits a vertex equitable labeling. In this paper, we study vertex equitable behavior of signed bistars. |
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| title_short |
Vertex Equitable Labeling of Signed Bistars |
| url |
https://dx.doi.org/10.1007/s40009-018-0641-2 |
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| author2 |
Acharya, Mukti Kansal, Sangita |
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Acharya, Mukti Kansal, Sangita |
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| doi_str |
10.1007/s40009-018-0641-2 |
| up_date |
2024-07-03T13:51:57.805Z |
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