Maximally edge-connected graphs and Zeroth-order general Randić index for $$\alpha \le -1$$
Abstract Let $$G$$ be a connected graph with order $$n,$$ minimum degree $$\delta =\delta (G)$$ and edge-connectivity $$\lambda =\lambda (G).$$ A graph $$G$$ is maximally edge-connected if $$\lambda =\delta .$$ In this paper, we present two sufficient conditions for graphs to be maximally edge-conne...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Su, Guifu [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media New York 2014 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of combinatorial optimization - Springer US, 1997, 31(2014), 1 vom: 11. März, Seite 182-195 |
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| Übergeordnetes Werk: |
volume:31 ; year:2014 ; number:1 ; day:11 ; month:03 ; pages:182-195 |
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| DOI / URN: |
10.1007/s10878-014-9728-y |
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| 520 | |a Abstract Let $$G$$ be a connected graph with order $$n,$$ minimum degree $$\delta =\delta (G)$$ and edge-connectivity $$\lambda =\lambda (G).$$ A graph $$G$$ is maximally edge-connected if $$\lambda =\delta .$$ In this paper, we present two sufficient conditions for graphs to be maximally edge-connected, which generalize two results recently proved by P. Dankelmann, A. Hellwig and L. Volkmann. The extremal graphs are also characterized. | ||
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10.1007/s10878-014-9728-y doi (DE-627)OLC2044619431 (DE-He213)s10878-014-9728-y-p DE-627 ger DE-627 rakwb eng 510 VZ 3,2 ssgn Su, Guifu verfasserin aut Maximally edge-connected graphs and Zeroth-order general Randić index for $$\alpha \le -1$$ 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2014 Abstract Let $$G$$ be a connected graph with order $$n,$$ minimum degree $$\delta =\delta (G)$$ and edge-connectivity $$\lambda =\lambda (G).$$ A graph $$G$$ is maximally edge-connected if $$\lambda =\delta .$$ In this paper, we present two sufficient conditions for graphs to be maximally edge-connected, which generalize two results recently proved by P. Dankelmann, A. Hellwig and L. Volkmann. The extremal graphs are also characterized. Degree (of vertex) Zeroth-order general Randić index Edge-connectivity Maximally edge-connected Xiong, Liming aut Su, Xiaofeng aut Li, Guojun aut Enthalten in Journal of combinatorial optimization Springer US, 1997 31(2014), 1 vom: 11. März, Seite 182-195 (DE-627)216539323 (DE-600)1339574-9 (DE-576)094421935 1382-6905 nnns volume:31 year:2014 number:1 day:11 month:03 pages:182-195 https://doi.org/10.1007/s10878-014-9728-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OLC-WIW SSG-OPC-MAT GBV_ILN_24 GBV_ILN_70 GBV_ILN_2108 AR 31 2014 1 11 03 182-195 |
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Abstract Let $$G$$ be a connected graph with order $$n,$$ minimum degree $$\delta =\delta (G)$$ and edge-connectivity $$\lambda =\lambda (G).$$ A graph $$G$$ is maximally edge-connected if $$\lambda =\delta .$$ In this paper, we present two sufficient conditions for graphs to be maximally edge-connected, which generalize two results recently proved by P. Dankelmann, A. Hellwig and L. Volkmann. The extremal graphs are also characterized. © Springer Science+Business Media New York 2014 |
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Abstract Let $$G$$ be a connected graph with order $$n,$$ minimum degree $$\delta =\delta (G)$$ and edge-connectivity $$\lambda =\lambda (G).$$ A graph $$G$$ is maximally edge-connected if $$\lambda =\delta .$$ In this paper, we present two sufficient conditions for graphs to be maximally edge-connected, which generalize two results recently proved by P. Dankelmann, A. Hellwig and L. Volkmann. The extremal graphs are also characterized. © Springer Science+Business Media New York 2014 |
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Abstract Let $$G$$ be a connected graph with order $$n,$$ minimum degree $$\delta =\delta (G)$$ and edge-connectivity $$\lambda =\lambda (G).$$ A graph $$G$$ is maximally edge-connected if $$\lambda =\delta .$$ In this paper, we present two sufficient conditions for graphs to be maximally edge-connected, which generalize two results recently proved by P. Dankelmann, A. Hellwig and L. Volkmann. The extremal graphs are also characterized. © Springer Science+Business Media New York 2014 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2044619431</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503135025.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2014 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10878-014-9728-y</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2044619431</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10878-014-9728-y-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">3,2</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Su, Guifu</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Maximally edge-connected graphs and Zeroth-order general Randić index for $$\alpha \le -1$$</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media New York 2014</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Let $$G$$ be a connected graph with order $$n,$$ minimum degree $$\delta =\delta (G)$$ and edge-connectivity $$\lambda =\lambda (G).$$ A graph $$G$$ is maximally edge-connected if $$\lambda =\delta .$$ In this paper, we present two sufficient conditions for graphs to be maximally edge-connected, which generalize two results recently proved by P. 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