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DM
2006
82views more  DM 2006»
13 years 10 months ago
On the extension of vertex maps to graph homomorphisms
A reflexive graph is a simple undirected graph where a loop has been added at each vertex. If G and H are reflexive graphs and U V (H), then a vertex map f : U V (G) is called n...
Geir Agnarsson, Li Chen
COMBINATORICS
2004
130views more  COMBINATORICS 2004»
13 years 10 months ago
On-line Ramsey Theory
The Ramsey game we consider in this paper is played on an unbounded set of vertices by two players, called Builder and Painter. In one move Builder introduces a new edge and Paint...
Jaroslaw Grytczuk, Mariusz Haluszczak, Henry A. Ki...
FOCS
1998
IEEE
14 years 2 months ago
Parametric and Kinetic Minimum Spanning Trees
We consider the parametric minimum spanning tree problem, in which we are given a graph with edge weights that are linear functions of a parameter and wish to compute the sequenc...
Pankaj K. Agarwal, David Eppstein, Leonidas J. Gui...
CPC
2007
88views more  CPC 2007»
13 years 10 months ago
Zero-Free Intervals for Flow Polynomials of Near-Cubic Graphs
Let P(G,t) and F(G,t) denote the chromatic and flow polynomials of a graph G. G.D. Birkhoff and D.C. Lewis showed that, if G is a plane near triangulation, then the only zeros of...
Bill Jackson
ALGORITHMICA
2004
150views more  ALGORITHMICA 2004»
13 years 10 months ago
Sum Coloring of Bipartite Graphs with Bounded Degree
We consider the Chromatic Sum Problem on bipartite graphs which appears to be much harder than the classical Chromatic Number Problem. We prove that the Chromatic Sum Problem is NP...
Michal Malafiejski, Krzysztof Giaro, Robert Jancze...