Unique list-colourability and the fixing chromatic number of graphs
نویسندگان
چکیده
منابع مشابه
The locating-chromatic number for Halin graphs
Let G be a connected graph. Let f be a proper k -coloring of G and Π = (R_1, R_2, . . . , R_k) bean ordered partition of V (G) into color classes. For any vertex v of G, define the color code c_Π(v) of v with respect to Π to be a k -tuple (d(v, R_1), d(v, R_2), . . . , d(v, R_k)), where d(v, R_i) is the min{d(v, x)|x ∈ R_i}. If distinct vertices have distinct color codes, then we call f a locat...
متن کاملThe locating chromatic number of the join of graphs
Let $f$ be a proper $k$-coloring of a connected graph $G$ and $Pi=(V_1,V_2,ldots,V_k)$ be an ordered partition of $V(G)$ into the resulting color classes. For a vertex $v$ of $G$, the color code of $v$ with respect to $Pi$ is defined to be the ordered $k$-tuple $c_{{}_Pi}(v)=(d(v,V_1),d(v,V_2),ldots,d(v,V_k))$, where $d(v,V_i)=min{d(v,x):~xin V_i}, 1leq ileq k$. If distinct...
متن کاملList edge chromatic number of graphs with large girth
Kostochka, A.V., List edge chromatic number of graphs with large girth, Discrete Mathematics 101 (1992) 189-201. It is shown that the list edge chromatic number of any graph with maximal degree A and girth at least 8A(ln A + 1.1) is equal to A + 1 or to A.
متن کاملList-chromatic Number and the Chromatic Number in Minor-closed and Odd-minor-closed Classes of Graphs
It is well-known (Feige and Kilian [24], H̊astad [39]) that approximating the chromatic number within a factor of n1−ε cannot be done in polynomial time for ε > 0, unless coRP = NP. Computing the list-chromatic number is much harder than determining the chromatic number. It is known that the problem of deciding if the list-chromatic number is k, where k ≥ 3, is Πp2-complete [37]. In this paper, ...
متن کاملthe locating chromatic number of the join of graphs
let $f$ be a proper $k$-coloring of a connected graph $g$ and $pi=(v_1,v_2,ldots,v_k)$ be an ordered partition of $v(g)$ into the resulting color classes. for a vertex $v$ of $g$, the color code of $v$ with respect to $pi$ is defined to be the ordered $k$-tuple $c_{{}_pi}(v)=(d(v,v_1),d(v,v_2),ldots,d(v,v_k))$, where $d(v,v_i)=min{d(v,x):~xin v_i}, 1leq ileq k$. if distinct...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2005
ISSN: 0166-218X
DOI: 10.1016/j.dam.2005.04.006