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Regular factors in nearly regular graphs

✍ Scribed by Jean-Claude Bermond; Michel Las Vergnas


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
232 KB
Volume
50
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Regular factors in regular graphs
✍ P. Katerinis πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 473 KB

Katerinis, P., Regular factors in regular graphs, Discrete Mathematics 113 (1993) 269-274. Let G be a k-regular, (k -I)-edge-connected graph with an even number of vertices, and let m be an integer such that 1~ m s k -1. Then the graph obtained by removing any k -m edges of G, has an m-factor.

Regular factors of regular graphs
✍ B. BollobΓ‘s; Akira Saito; N. C. Wormald πŸ“‚ Article πŸ“… 1985 πŸ› John Wiley and Sons 🌐 English βš– 242 KB

Given r 3 3 and 1 s A s r, we determine all values of k for which every r-regular graph with edge-connectivity A has a k-factor. Some of the earliest results in graph theory are due to Petersen [8] and concern factors in graphs. Among others, Petersen proved that a regular graph of even degree has a

Regular Graphs, Eigenvalues and Regular
✍ Hongliang Lu πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 97 KB

## Abstract In this article, we obtain a sufficient condition for the existence of regular factors in a regular graph in terms of its third largest eigenvalue. We also determine all values of __k__ such that every __r__‐regular graph with the third largest eigenvalue at most has a __k__‐factor.

On nearly regular co-critical graphs
✍ Tibor SzabΓ³ πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 136 KB

A graph G is called (K 3, K3)-co-critical if the edges of G can be coloured with two colours without getting a monochromatic triangle, but adding any new edge to the graph, this kind of 'good' colouring is impossible. In this short note we construct (K 3, K3)-co-critical graphs of maximal degree O(n

Regular factors in vertex-deleted subgra
✍ P. Katerinis πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 258 KB

Let G be a 2r-regular, 2r-edge-connected graph of odd order and m be an integer such that 1 2rw(W)+2ec(S',S')-2 c d,-&)+2rlS'I. ES' (12) But CxsS' ## dc-o(x)=&sS dG-D(x)+dc-&)=CXEs dG,-D(x)+e&,S)+dG-&). Thus (12) implies, ## 2rIDI>2ro(W)+2eG(S',S')-2 c dc,-o(x)+e,(u,S)+d,-,(u) +WS'I. XC.7