For any 4-regular graph G (possibly with multiple edges), we prove that, if the number N of distinct Euler orientations of G is such that N β‘ 1 (mod 3), then G has a 3-regular subgraph. It gives the new 4-regular graphs with multiple edges which have no 3-regular subgraphs, for which we know the num
Regular factors in vertex-deleted subgraphs of regular graphs
β Scribed by P. Katerinis
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 258 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0012-365X
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β¦ Synopsis
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
π SIMILAR VOLUMES
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