منابع مشابه
Uniquely 2-list colorable graphs
A graph is called to be uniquely list colorable, if it admits a list assignment which induces a unique list coloring. We study uniquely list colorable graphs with a restriction on the number of colors used. In this way we generalize a theorem which characterizes uniquely 2–list colorable graphs. We introduce the uniquely list chromatic number of a graph and make a conjecture about it which is a...
متن کاملOn Uniquely List Colorable Graphs
Let G be a graph with n vertices and suppose that for each vertex v in G, there exists a list of k colors, L(v), such that there is a unique proper coloring for G from this collection of lists, then G is called a uniquely k–list colorable graph. Recently M. Mahdian and E.S. Mahmoodian characterized uniquely 2–list colorable graphs. Here we state some results which will pave the way in character...
متن کاملOn the Uniquely List Colorable Graphs
Let G be a graph with ν vertices, and let S1, S2, . . . , Sν be a list of colors on its vertices, each of size k. If there exists a unique proper coloring for G from this list of colors, then G is called uniquely k–list colorable graph. We characterize all uniquely 2–list colorable graphs, and discuss uniquely k–list colorable graphs by introducing some open problems. We also show the connectio...
متن کاملA Characterization of Uniquely 2-List Colorable Graphs
Let G be a graph with vertices, and let S 1 ; S 2 ; : : : ; S be a list of colors on its vertices, each of size k. If there exists a unique proper coloring for G from this list of colors, then G is called uniquely k{list colorable graph. We prove that a graph is uniquely 2{list colorable if and only if one of its blocks is not a cycle, a complete graph, or a complete bipartite graph. For each k...
متن کاملJ un 1 99 9 On Uniquely List Colorable Graphs ∗
Let G be a graph with n vertices and suppose that for each vertex v in G, there exists a list of k colors, L(v), such that there is a unique proper coloring for G from this collection of lists, then G is called a uniquely k–list colorable graph. Recently M. Mahdian and E.S. Mahmoodian characterized uniquely 2–list colorable graphs. Here we state some results which will pave the way in character...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2002
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(00)00335-8