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» Bounding the Number of Edges in Permutation Graphs
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TCS
2008
13 years 8 months ago
Setting port numbers for fast graph exploration
We consider the problem of periodic graph exploration by a finite automaton in which an automaton with a constant number of states has to explore all unknown anonymous graphs of a...
David Ilcinkas
DM
2002
116views more  DM 2002»
13 years 8 months ago
Star forests, dominating sets and Ramsey-type problems
A star forest of a graph G is a spanning subgraph of G in which each component is a star. The minimum number of edges required to guarantee that an arbitrary graph, or a bipartite...
Sheila Ferneyhough, Ruth Haas, Denis Hanson, Gary ...
JCT
2006
168views more  JCT 2006»
13 years 8 months ago
Mono-multi bipartite Ramsey numbers, designs, and matrices
Eroh and Oellermann defined BRR(G1, G2) as the smallest N such that any edge coloring of the complete bipartite graph KN,N contains either a monochromatic G1 or a multicolored G2....
Paul N. Balister, András Gyárf&aacut...
CPC
2007
105views more  CPC 2007»
13 years 8 months ago
Packing Cliques in Graphs with Independence Number 2
Let G be a graph with no three independent vertices. How many edges of G can be packed with edge-disjoint copies of Kk? More specifically, let fk(n, m) be the largest integer t s...
Raphael Yuster
COMGEO
2007
ACM
13 years 8 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood