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On extendability of co-edge-regulat graphsKutnar, Klavdija, 1980- ...Let $\ell$ denote a non-negative integer. A connected graph $\G$ of even order at least $2\ell+2$ is {\em $\ell$-extendable} if it contains a matching of size $\ell$ and if every such matching is ... contained in a perfect matching of $\G$. A regular graph $\G$ is {\em co-edge-regular} if there exists a constant $\mu$ such that any pair of distinct nonadjacent vertices have $\mu$ common neighbors. In this paper we classify all $2$-extendable and all $3$-extendable co-edge-regular graphs of even order. Our results show that the only connected co-edge-regular graph of even order at least $8$ and valence at least $7$ which is not $3$-extendable is the complete multipartite graph $K_{4,4,4}$.Source: Discrete applied mathematics. - ISSN 0166-218X (Vol. 298, 2021, str. 34-49)Type of material - article, component part ; adult, seriousPublish date - 2021Language - englishCOBISS.SI-ID - 59713795
Author
Kutnar, Klavdija, 1980- |
Marušič, Dragan |
Miklavič, Štefko |
Šparl, Primož
Topics
kopovezavno |
regularen graf |
I-raztegljiv |
podgraf
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Kutnar, Klavdija, 1980- | 24997 |
Marušič, Dragan | 02887 |
Miklavič, Štefko | 21656 |
Šparl, Primož | 23341 |
Source: Personal bibliographies
and: SICRIS
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