منابع مشابه
Coloring ($P_5$, bull)-free graphs
We give a polynomial-time algorithm that computes the chromatic number of any graph that contains no path on five vertices and no bull as an induced subgraph (where the bull is the graph with five vertices a, b, c, d, e and edges ab, bc, cd, be, ce).
متن کاملConflict-free coloring of graphs
We study the conflict-free chromatic number χCF of graphs from extremal and probabilistic point of view. We resolve a question of Pach and Tardos about the maximum conflict-free chromatic number an n-vertex graph can have. Our construction is randomized. In relation to this we study the evolution of the conflict-free chromatic number of the ErdősRényi random graph G(n, p) and give the asymptoti...
متن کاملColoring square-free Berge graphs
We consider the class of Berge graphs that do not contain a chordless cycle of length four. We present a purely graph-theoretical algorithm that produces an optimal coloring in polynomial time for every graph in that
متن کاملStructure of W 4 - immersion free graphs ?
We study the structure of graphs that do not contain the wheel on 5 vertices W4 as an immersion, and show that these graphs can be constructed via 1, 2, and 3-edge-sums from subcubic graphs and graphs of bounded treewidth.
متن کاملFractional Coloring of Triangle-Free Planar Graphs
We prove that every planar triangle-free graph on n vertices has fractional chromatic number at most 3− 1 n+1/3 .
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: Journal of Combinatorial Theory, Series B
سال: 2016
ISSN: 0095-8956
DOI: 10.1016/j.jctb.2016.07.005