Abstract
Let G be a graph, and let g and f be two integer-valued functions defined on V(G) such that g(x) ≤ f(x) for all x ∈ V(G). A graph G is called a (g, f, n)-critical graph if G - N has a (g, f)-factor for each N ⊆ V(G) with |N| = n. In this paper, a necessary and sufficient condition for a graph to be (g, f, n)-critical is given. Furthermore, the properties of (g, f, n)-critical graph are studied.
| Original language | English |
|---|---|
| Pages (from-to) | 71-82 |
| Number of pages | 12 |
| Journal | Ars Combinatoria |
| Volume | 78 |
| Publication status | Published - 2006 Jan |
| Externally published | Yes |
Keywords
- (g, f)-factor
- Factor-critical graph
ASJC Scopus subject areas
- Mathematics(all)
Cite this
On (g, f, n)-critical graphs. / Li, Jianxiang; Matsuda, Haruhide.
In: Ars Combinatoria, Vol. 78, 01.2006, p. 71-82.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On (g, f, n)-critical graphs
AU - Li, Jianxiang
AU - Matsuda, Haruhide
PY - 2006/1
Y1 - 2006/1
N2 - Let G be a graph, and let g and f be two integer-valued functions defined on V(G) such that g(x) ≤ f(x) for all x ∈ V(G). A graph G is called a (g, f, n)-critical graph if G - N has a (g, f)-factor for each N ⊆ V(G) with |N| = n. In this paper, a necessary and sufficient condition for a graph to be (g, f, n)-critical is given. Furthermore, the properties of (g, f, n)-critical graph are studied.
AB - Let G be a graph, and let g and f be two integer-valued functions defined on V(G) such that g(x) ≤ f(x) for all x ∈ V(G). A graph G is called a (g, f, n)-critical graph if G - N has a (g, f)-factor for each N ⊆ V(G) with |N| = n. In this paper, a necessary and sufficient condition for a graph to be (g, f, n)-critical is given. Furthermore, the properties of (g, f, n)-critical graph are studied.
KW - (g, f)-factor
KW - Factor-critical graph
UR - http://www.scopus.com/inward/record.url?scp=33644693977&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33644693977&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:33644693977
VL - 78
SP - 71
EP - 82
JO - Ars Combinatoria
JF - Ars Combinatoria
SN - 0381-7032
ER -