A bound for the complexity of a simple graph
β Scribed by Robert Grone; Russell Merris
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 310 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Let G be a simple (nonfat graph wiih degree sequeme dl, dz, l . . , d,. The ~~~~~ of spanning trees of G is bounded above by
π SIMILAR VOLUMES
Lrzt G = (V, 0 be a ttlock :.>f order n, different from Kn. Let ~FI = min {d(x) + d(y): n then G contains a cycle of length at least m. 1. Introductlion and notatio e discuss only finite undirected graphs withsLc loops and multiple edges. We p:rosye the main theorem d show how Qre's th -orem [ 3.1 o
Given a finite graph G=( V, E), what is the minimum number c(G) of incidence tests which are needed in the worst case to identify an unknown edge e\*EE? The number c(G) was first studied by Aigner and Triesch (1988), where it was shown that for almost all graphs in the random graph model where d(n)
## Abstract The path number of a graph __G__, denoted __p(G)__, is the minimum number of edgeβdisjoint paths covering the edges of __G.__ LovΓ‘sz has proved that if __G__ has __u__ odd vertices and __g__ even vertices, then __p(G)__ β€ 1/2 __u__ + __g__ β 1 β€ __n__ β 1, where __n__ is the total numbe