𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The virtual k-factorability of graphs

✍ Scribed by Seiya Negami


Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
340 KB
Volume
11
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

✦ Synopsis


It is shown that if a connected graph G admits a finite covering that has a k-factor, then there is a 1 -or 2-fold covering of G that has a k-factor and that such a covering can be given as a canonical bipartite graph associated with G.

will conflict with the first one in Czn-, but there is no trouble in C,,,_? since the two corresponding choices arise at different places. This suggests that a covering would simplify some obstruction to 1-factors.


πŸ“œ SIMILAR VOLUMES


K4βˆ’-factor in a graph
✍ Ken-ichi Kawarabayashi πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 194 KB

## Abstract Let __G__ be a graph of order 4__k__ and let Ξ΄(__G__) denote the minimum degree of __G__. Let __F__ be a given connected graph. Suppose that |__V__(__G__)| is a multiple of |__V__(__F__)|. A spanning subgraph of __G__ is called an __F__‐factor if its components are all isomorphic to __F

The symmetric (2k, k)-graphs
✍ Matthias Kriesell πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 166 KB πŸ‘ 1 views
Regular factors in K1,3-free graphs
✍ S. A. Choudum; M. S. Paulraj πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 247 KB πŸ‘ 1 views

## Abstract We show that every connected __K__~1,3~‐free graph with minimum degree at least __2k__ contains a __k__‐factor and construct connected __K__~1,3~‐free graphs with minimum degree __k__ + __0__(√__k__) that have no __k__‐factor.

Regular factors in K1,n free graphs
✍ Yoshimi Egawa; Katsuhiro Ota πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 280 KB

## Abstract A graph is said to be __K__~1,__n__~‐free, if it contains no __K__~1,__n__~ as an induced subgraph. We prove that for __n__ β©Ύ 3 and __r__ β©Ύ __n__ βˆ’1, if __G__ is a __K__~1,__n__~‐free graph with minimum degree at least (__n__^2^/4(__n__ βˆ’1))__r__ + (3__n__ βˆ’6)/2 + (__n__ βˆ’1)/4__r__, the

A 1-factorization of the line graphs of
✍ Brian Alspach πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 254 KB πŸ‘ 1 views

## Abstract A 1‐factorization is constructed for the line graph of the complete graph __K~n~__ when __n__ is congruent to 0 or 1 modulo 4.