𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Component factors and induced subgraphs

✍ Scribed by Nishimura, Tsuyoshi


Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
207 KB
Volume
22
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

✦ Synopsis


Let G and K be connected graphs such that I GI = nlKl (n 2 2) and let p be a fixed integer satisfying 1 < p < n. We prove that if G \ A has a K-factor for every connected subgraph A with IAl = plKI, then G also has a K-factor.


πŸ“œ SIMILAR VOLUMES


Induced subgraphs and well-quasi-orderin
✍ Peter Damaschke πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 428 KB

## Abstract We study classes of finite, simple, undirected graphs that are (1) lower ideals (or hereditary) in the partial order of graphs by the induced subgraph relation ≀~i~, and (2) well‐quasi‐ordered (WQO) by this relation. The main result shows that the class of cographs (__P~4~__‐free graphs

Line Graphs and Forbidden Induced Subgra
✍ Hong-Jian Lai; Δ½ubomΔ±&amp;#x0301;r Ε oltΓ©s πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 242 KB

Beineke and Robertson independently characterized line graphs in terms of nine forbidden induced subgraphs. In 1994, S8 olte s gave another characterization, which reduces the number of forbidden induced subgraphs to seven, with only five exceptional cases. A graph is said to be a dumbbell if it con

Induced subgraphs of prescribed size
✍ Noga Alon; Michael Krivelevich; Benny Sudakov πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 127 KB

## Abstract A subgraph of a graph __G__ is called __trivial__ if it is either a clique or an independent set. Let __q(G)__ denote the maximum number of vertices in a trivial subgraph of __G__. Motivated by an open problem of ErdΕ‘s and McKay we show that every graph __G__ on __n__ vertices for which

Bipartite induced subgraphs and well-qua
✍ Nicholas Korpelainen; Vadim V. Lozin πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 238 KB

We study bipartite graphs partially ordered by the induced subgraph relation. Our goal is to distinguish classes of bipartite graphs that are or are not well-quasi-ordered (wqo) by this relation. Answering an open question from [J Graph Theory 16 (1992), 489-502], we prove that P 7 -free bipartite g

On induced subgraphs of a block
✍ Ladislav NebeskΓ½ πŸ“‚ Article πŸ“… 1977 πŸ› John Wiley and Sons 🌐 English βš– 271 KB

If G is a block, then a vertex u of G is called critical if Gu is not a block. In this article, relationships between the localization of critical vertices and the localization of vertices of relatively small degrees (especially, of degree two) are studied. A block is called semicritical if a) each

Forbidden subgraphs and the existence of
✍ R. E. L. Aldred; Jun Fujisawa; Akira Saito πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 195 KB πŸ‘ 1 views

## Abstract In this paper, we consider forbidden subgraphs which force the existence of a 2‐factor. Let \documentclass{article}\footskip=0pc\pagestyle{empty}\begin{document}${\cal G}$\end{document} be the class of connected graphs of minimum degree at least two and maximum degree at least three, an