We consider the problem: Characterize the edge orienta,tions of a finite graph with a maximum number of pairs of oppositely oriented edges. The probiem is solved for finite cubic graphs.
On the maximum number of independent edges in cubic graphs
β Scribed by Arthur M. Hobbs; Edward Schmeichel
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 146 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Let the reals be extended to include oo with o~ > r
π SIMILAR VOLUMES
In this paper we present a short algebraic proof for a generalization of a formula of R. Penrose, Some applications of negative dimensional tensors, in: Combinatorial Mathematics and its Applications Welsh (ed.), Academic Press, 1971, pp. 221-244 on the number of 3-edge colorings of a plane cubic gr
Let G=(V 1 , V 2 ; E ) be a bipartite graph with |V 1 |= |V 2 | =n 2k, where k is a positive integer. Suppose that the minimum degree of G is at least k+1. We show that if n>2k, then G contains k vertex-disjoint cycles. We also show that if n=2k, then G contains k&1 quadrilaterals and a path of orde
Sanchis, L.A., Maximum number of edges in connected graphs with a given domination number, Discrete Mathematics 87 (1991) 65-72.
Shi, Y., The number of edges in a maximum cycle-distributed graph, Discrete Mathematics 104 (1992) 205-209. Let f(n) (f\*(n)) be the maximum possible number of edges in a graph (2-connected simple graph) on n vertices in which no two cycles prove that, for every integer n > 3, f(n) 3 n + k + [i( [~(
A graph is 2K,-free if it does not contain an independent pair of edges as an induced subgraph. We show that if G is 2K,-free and has maximum degree A(G) = D, then G has at most 5D2/4 edges if D is even. If D is odd, this bound can be improved to (5D\* -20 + 1)/4. The extremal graphs are unique.