Vertex coloring of graphs with few obstructions
نویسندگان
چکیده
منابع مشابه
Edge-coloring Vertex-weightings of Graphs
Let $G=(V(G),E(G))$ be a simple, finite and undirected graph of order $n$. A $k$-vertex weightings of a graph $G$ is a mapping $w: V(G) to {1, ldots, k}$. A $k$-vertex weighting induces an edge labeling $f_w: E(G) to N$ such that $f_w(uv)=w(u)+w(v)$. Such a labeling is called an {it edge-coloring k-vertex weightings} if $f_{w}(e)not= f_{w}(echr(chr(chr('39')39chr('39'))39chr(chr('39')39chr('39'...
متن کاملColoring graphs with locally few colors
Assume that a graph G has a good-coloring which uses at most r colors in the neighborhood of every vertex. We call this kind of coloring a local r-coloring . Is it true that the chromatic number of G is bounded? For r = 1 the answer is easy, G is bipartite, as it cannot have an odd circuit . For r = 2, however, the situation is completely different. A graph can be given with arbitrarily large (...
متن کاملVertex Decomposable Graphs and Obstructions to Shellability
Inspired by several recent papers on the edge ideal of a graph G, we study the equivalent notion of the independence complex of G. Using the tool of vertex decomposability from geometric combinatorics, we show that 5-chordal graphs with no chordless 4-cycles are shellable and sequentially Cohen-Macaulay. We use this result to characterize the obstructions to shellability in flag complexes, exte...
متن کاملTotal Coloring of Certain Double Vertex Graphs
In this paper we investigate the total coloring number for double vertex graphs of some of the most common classes of graphs. Mathematics Subject Classification: 05C15
متن کاملVertex-coloring 2-edge-weighting of graphs
A k-edge-weighting w of a graph G is an assignment of an integer weight, w(e) ∈ {1, . . . , k}, to each edge e. An edge weighting naturally induces a vertex coloring c by defining c(u) = ∑ u∼e w(e) for every u ∈ V (G). A k-edge-weighting of a graph G is vertexcoloring if the induced coloring c is proper, i.e., c(u) ≠ c(v) for any edge uv ∈ E(G). Given a graph G and a vertex coloring c0, does th...
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: 2017
ISSN: 0166-218X
DOI: 10.1016/j.dam.2015.02.015