graph a b s t r a c t Let G be a graph, and k a positive integer. Let h : E(G) β [0, 1] be a function. If β eβx h(e) = k holds for each x β V (G), then we call G[F h ] a fractional k-factor of G with indicator function h where F h = {e β E(G) : h(e) > 0}. A graph G is called a fractional (k, m)delet
A sufficient condition for graphs with large neighborhood unions to be traceable
β Scribed by Shijun Ren
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 246 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
We prove that a 2-connected graph G of order p is traceable if (u, v, w, x are distinct vertices of G). In addition, we give a short proof of Lindquester's conjecture.
π SIMILAR VOLUMES
The total chromatic number Ο T (G) of graph G is the least number of colors assigned to V (G) βͺ E(G) such that no adjacent or incident elements receive the same color. In this article, we give a sufficient condition for a bipartite graph G to have Ο T (G) = β(G) + 1.
## Abstract A proper vertex coloring of a graph __G__ = (__V, E__) is acyclic if __G__ contains no bicolored cycle. Given a list assignment __L__ = {__L__(__v__)|__v__β__V__} of __G__, we say __G__ is acyclically __L__βlist colorable if there exists a proper acyclic coloring Ο of __G__ such that Ο(
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