๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On f-factors of a graph

โœ Scribed by Jialong Lan; Wai-Kai Chen


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
404 KB
Volume
320
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

โœฆ Synopsis


This paper probes the relations between f-factors and subgraphs and their degree sequences in a graph when the graph has the odd-cycle property and contains no self-loop. Useful results are derived which greatly simplify tests of the existence of f-factors.

z. zntrodactic?n


๐Ÿ“œ SIMILAR VOLUMES


Maximum (g,f)-factors of a general graph
โœ William Y.C. Chen ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 472 KB

Chen, W. Y. C., Maximum (g, f)-factors of a general graph, Discrete Mathematics 91 (1991) l-7. This paper presents a characterization of maximum (g, f)-factors of a general graph in which multiple edges and loops are allowed. An analogous characterization of the minimum (g,f)-factors of a general gr

On 2-factors of a bipartite graph
โœ Wang, Hong ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 191 KB ๐Ÿ‘ 2 views

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 | โ‰ค n, |U 2 | โ‰ค n and โˆ†(H) โ‰ค 2, G contains a subgraph i

A Characterization of Graphs Having All
โœ Thomas Niessen ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 310 KB

Let G be a graph with vertex set V and let g, f : V ร„ Z + . We say that G has all ( g, f )-factors if G has an h-factor for every h: V ร„ Z + such that g(v) h(v) f (v) for every v # V and at least one such h exists. In this note, we derive from Tutte's f-factor theorem a similar characterization for

A note concerning graphs with unique f-f
โœ Bill Jackson; R. W. Whitty ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 74 KB

We show that if a 2-edge connected graph G has a unique f-factor F, then some vertex has the same degree in F as in G. This conclusion is the best possible, even if the hypothesis is considerably strengthened. 1. All graphs considered are finite but may contain loops and multiple edges. Let G be a

Binding numbers and f-factors of graphs
โœ Mikio Kano; Norihide Tokushige ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 351 KB