The complexity of the zero-sum 3-flows
A zero-sum k-flow for a graph G is a vector in the null-space of the 0,10,1-incidence matrix of G such that its entries belong to ... Akbari et al. (2009) conjectured that if G is a graph with a zero-sum flow, then G admits a zero-sum 6-flow. (2,3)-semiregular graphs are an important family in study...
Ausführliche Beschreibung
Autor*in: |
Ali Dehghan [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2015 |
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Systematik: |
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Übergeordnetes Werk: |
Enthalten in: Information processing letters - Amsterdam [u.a.] : Elsevier, 1971, 115(2015), 2, Seite 316-320 |
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Übergeordnetes Werk: |
volume:115 ; year:2015 ; number:2 ; pages:316-320 |
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DOI / URN: |
10.1016/j.ipl.2014.10.004 |
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Katalog-ID: |
OLC1963669320 |
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10.1016/j.ipl.2014.10.004 doi PQ20160617 (DE-627)OLC1963669320 (DE-599)GBVOLC1963669320 (PRQ)c2359-446c21351795cfc589d2664c44b2ee5469f0c99c1eaad6a59dc619dc13f9281e0 (KEY)0019592820150000115000200316complexityofthezerosum3flows DE-627 ger DE-627 rakwb eng 004 DNB SA 5400 AVZ rvk 54.00 bkl Ali Dehghan verfasserin aut The complexity of the zero-sum 3-flows 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier A zero-sum k-flow for a graph G is a vector in the null-space of the 0,10,1-incidence matrix of G such that its entries belong to ... Akbari et al. (2009) conjectured that if G is a graph with a zero-sum flow, then G admits a zero-sum 6-flow. (2,3)-semiregular graphs are an important family in studying zero-sum flows. Akbari et al. (2009) proved that if Zero-Sum Conjecture is true for any (2,3)-semiregular graph, then it is true for any graph. In this paper, we show that there is a polynomial time algorithm to determine whether a given (2,3)-graph G has a zero-sum 3-flow. In fact, we show that, there is a polynomial time algorithm to determine whether a given (2,4)-graph G with n vertices has a zero-sum 3-flow, where the number of vertices of degree four is ... Furthermore, we show that it is NP-complete to determine whether a given (3,4)-semiregular graph has a zero-sum 3-flow. (ProQuest: ... denotes formulae/symbols omitted.) Graph theory Algorithms Studies Complexity theory Polynomials Mohammad-Reza Sadeghi oth Enthalten in Information processing letters Amsterdam [u.a.] : Elsevier, 1971 115(2015), 2, Seite 316-320 (DE-627)129288853 (DE-600)120125-6 (DE-576)014470411 0020-0190 nnns volume:115 year:2015 number:2 pages:316-320 http://dx.doi.org/10.1016/j.ipl.2014.10.004 Volltext http://search.proquest.com/docview/1628654245 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OLC-BUB SSG-OPC-BBI GBV_ILN_21 GBV_ILN_70 GBV_ILN_4126 GBV_ILN_4318 SA 5400 54.00 AVZ AR 115 2015 2 316-320 |
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10.1016/j.ipl.2014.10.004 doi PQ20160617 (DE-627)OLC1963669320 (DE-599)GBVOLC1963669320 (PRQ)c2359-446c21351795cfc589d2664c44b2ee5469f0c99c1eaad6a59dc619dc13f9281e0 (KEY)0019592820150000115000200316complexityofthezerosum3flows DE-627 ger DE-627 rakwb eng 004 DNB SA 5400 AVZ rvk 54.00 bkl Ali Dehghan verfasserin aut The complexity of the zero-sum 3-flows 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier A zero-sum k-flow for a graph G is a vector in the null-space of the 0,10,1-incidence matrix of G such that its entries belong to ... Akbari et al. (2009) conjectured that if G is a graph with a zero-sum flow, then G admits a zero-sum 6-flow. (2,3)-semiregular graphs are an important family in studying zero-sum flows. Akbari et al. (2009) proved that if Zero-Sum Conjecture is true for any (2,3)-semiregular graph, then it is true for any graph. In this paper, we show that there is a polynomial time algorithm to determine whether a given (2,3)-graph G has a zero-sum 3-flow. In fact, we show that, there is a polynomial time algorithm to determine whether a given (2,4)-graph G with n vertices has a zero-sum 3-flow, where the number of vertices of degree four is ... Furthermore, we show that it is NP-complete to determine whether a given (3,4)-semiregular graph has a zero-sum 3-flow. (ProQuest: ... denotes formulae/symbols omitted.) Graph theory Algorithms Studies Complexity theory Polynomials Mohammad-Reza Sadeghi oth Enthalten in Information processing letters Amsterdam [u.a.] : Elsevier, 1971 115(2015), 2, Seite 316-320 (DE-627)129288853 (DE-600)120125-6 (DE-576)014470411 0020-0190 nnns volume:115 year:2015 number:2 pages:316-320 http://dx.doi.org/10.1016/j.ipl.2014.10.004 Volltext http://search.proquest.com/docview/1628654245 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OLC-BUB SSG-OPC-BBI GBV_ILN_21 GBV_ILN_70 GBV_ILN_4126 GBV_ILN_4318 SA 5400 54.00 AVZ AR 115 2015 2 316-320 |
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The complexity of the zero-sum 3-flows |
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A zero-sum k-flow for a graph G is a vector in the null-space of the 0,10,1-incidence matrix of G such that its entries belong to ... Akbari et al. (2009) conjectured that if G is a graph with a zero-sum flow, then G admits a zero-sum 6-flow. (2,3)-semiregular graphs are an important family in studying zero-sum flows. Akbari et al. (2009) proved that if Zero-Sum Conjecture is true for any (2,3)-semiregular graph, then it is true for any graph. In this paper, we show that there is a polynomial time algorithm to determine whether a given (2,3)-graph G has a zero-sum 3-flow. In fact, we show that, there is a polynomial time algorithm to determine whether a given (2,4)-graph G with n vertices has a zero-sum 3-flow, where the number of vertices of degree four is ... Furthermore, we show that it is NP-complete to determine whether a given (3,4)-semiregular graph has a zero-sum 3-flow. (ProQuest: ... denotes formulae/symbols omitted.) |
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A zero-sum k-flow for a graph G is a vector in the null-space of the 0,10,1-incidence matrix of G such that its entries belong to ... Akbari et al. (2009) conjectured that if G is a graph with a zero-sum flow, then G admits a zero-sum 6-flow. (2,3)-semiregular graphs are an important family in studying zero-sum flows. Akbari et al. (2009) proved that if Zero-Sum Conjecture is true for any (2,3)-semiregular graph, then it is true for any graph. In this paper, we show that there is a polynomial time algorithm to determine whether a given (2,3)-graph G has a zero-sum 3-flow. In fact, we show that, there is a polynomial time algorithm to determine whether a given (2,4)-graph G with n vertices has a zero-sum 3-flow, where the number of vertices of degree four is ... Furthermore, we show that it is NP-complete to determine whether a given (3,4)-semiregular graph has a zero-sum 3-flow. (ProQuest: ... denotes formulae/symbols omitted.) |
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A zero-sum k-flow for a graph G is a vector in the null-space of the 0,10,1-incidence matrix of G such that its entries belong to ... Akbari et al. (2009) conjectured that if G is a graph with a zero-sum flow, then G admits a zero-sum 6-flow. (2,3)-semiregular graphs are an important family in studying zero-sum flows. Akbari et al. (2009) proved that if Zero-Sum Conjecture is true for any (2,3)-semiregular graph, then it is true for any graph. In this paper, we show that there is a polynomial time algorithm to determine whether a given (2,3)-graph G has a zero-sum 3-flow. In fact, we show that, there is a polynomial time algorithm to determine whether a given (2,4)-graph G with n vertices has a zero-sum 3-flow, where the number of vertices of degree four is ... Furthermore, we show that it is NP-complete to determine whether a given (3,4)-semiregular graph has a zero-sum 3-flow. (ProQuest: ... denotes formulae/symbols omitted.) |
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The complexity of the zero-sum 3-flows |
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