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\iteman{io-port 05849531}
\itemau{Liu, Hongxia; Liu, Guizhen}
\itemti{Neighbor set for the existence of $(g,f,n)$-critical graphs.}
\itemso{Bull. Malays. Math. Sci. Soc. (2) 34, No. 1, 39-49 (2011).}
\itemab
Summary: Let $G$ be a graph of order $p$. Let $g(x)$ and $f(x)$ be two nonnegative integer-valued functions defined on $V(G)$ with $g(x) \leq f(x)$ for any $x \in V(G)$. A graph $G$ is said to be $(g, f, n)$-critical if $G - N$ has a $(g, f)$-factor for each $N \subseteq V(G)$ with $|N| = n$. If $g(x) \equiv a$ and $f(x) \equiv b$ for all $x \in V(G)$, then a $(g, f, n)$-critical graph is an $(a, b, n)$-critical graph. In this paper, several sufficient conditions in terms of neighbor set for graphs to be $(a, b, n)$-critical or $(g, f, n)$-critical are given.
\itemrv{~}
\itemcc{}
\itemut{graph; $(g, f)$-factor; $(g, f, n)$-critical graph; neighbor set}
\itemli{http://math.usm.my/bulletin/html/vol34\_1\_4.html}
\end