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COMGEO
2007
ACM
13 years 10 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
SWAT
1994
Springer
113views Algorithms» more  SWAT 1994»
14 years 2 months ago
Trapezoid Graphs and Generalizations, Geometry and Algorithms
Trapezoid graphs are a class of cocomparability graphs containing interval graphs and permutation graphs as subclasses. They were introduced by Dagan, Golumbic and Pinter DGP]. Th...
Stefan Felsner, Rudolf Müller, Lorenz Wernisc...
DM
2000
158views more  DM 2000»
13 years 9 months ago
Bipartite Ramsey numbers and Zarankiewicz numbers
The Zarankiewicz number z(s, m) is the maximum number of edges in a subgraph of K(s, s) that does not contain K(m, m) as a subgraph. The bipartite Ramsey number b(m, n) is the lea...
Wayne Goddard, Michael A. Henning, Ortrud R. Oelle...
COMBINATORICS
2006
121views more  COMBINATORICS 2006»
13 years 10 months ago
Identifying Graph Automorphisms Using Determining Sets
A set of vertices S is a determining set for a graph G if every automorphism of G is uniquely determined by its action on S. The determining number of a graph is the size of a sma...
Debra L. Boutin
SODA
2000
ACM
121views Algorithms» more  SODA 2000»
13 years 11 months ago
Coloring powers of planar graphs
We give nontrivial bounds for the inductiveness or degeneracy of power graphs Gk of a planar graph G. This implies bounds for the chromatic number as well, since the inductiveness ...
Geir Agnarsson, Magnús M. Halldórsso...