25 search results - page 3 / 5 » Algebraic characterization of uniquely vertex colorable grap... |
JUCS
2002
13 years 7 months ago
2002
: Let G = (V, E) be a strongly connected and aperiodic directed graph of uniform out-degree k. A deterministic finite automaton is obtained if the edges are colored with k colors i...
DAM
2010
13 years 7 months ago
2010
We study P6-free graphs, i.e., graphs that do not contain an induced path on six vertices. Our main result is a new characterization of this graph class: a graph G is P6-free if an...
SIAMDM
2010
13 years 2 months ago
2010
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
DAM
2008
13 years 7 months ago
2008
Let G = (V, E) be a graph with vertex set V and edge set E. The k-coloring problem is to assign a color (a number chosen in {1, . . . , k}) to each vertex of G so that no edge has...
FOCS
2005
IEEE
14 years 1 months ago
2005
IEEE
The problem of characterizing all the testable graph properties is considered by many to be the most important open problem in the area of property-testing. Our main result in thi...