On uniqueness of prime bipartite factors of graphs
β Scribed by Hammack, Richard H.
- Book ID
- 120497746
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 457 KB
- Volume
- 313
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Xu, S., The chromatic uniqueness of complete bipartite graphs, Discrete Mathematics 94 (1991) 153-159. This paper is partitioned into two parts. In the first part we determine the maximum number of induced complete bipartite subgraphs in graphs with some given conditions. Using a theorem given in th
The set of two-factors of a bipartite k-regular graph, k > 2, spans the cycle space of the graph. In addition, a new non-hamiltonian T-connected bicubic graph on 92 vertices is constructed.
## Abstract A path on __n__ vertices is denoted by __P__~__n__~. For any graph __H__, the number of isolated vertices of __H__ is denoted by __i(H)__. Let __G__ be a graph. A spanning subgraph __F__ of __G__ is called a {__P__~3~, __P__~4~, __P__~5~}βfactor of __G__ if every component of __F__ is o
In this article, we consider the following problem: Given a bipartite graph G and a positive integer k, when does G have a 2-factor with exactly k components? We will prove that if , then, for any bipartite graph H = (U 1 , U 2 ; F ) with |U 1 | β€ n, |U 2 | β€ n and β(H) β€ 2, G contains a subgraph i