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» On the Grundy Number of a Graph
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DCG
2008
93views more  DCG 2008»
15 years 6 months ago
Odd Crossing Number and Crossing Number Are Not the Same
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
JCT
2011
93views more  JCT 2011»
14 years 9 months ago
A graph-theoretic approach to quasigroup cycle numbers
Abstract. Norton and Stein associated a number with each idempotent quasigroup or diagonalized Latin square of given finite order n, showing that it is congruent mod 2 to the tria...
Brent Kerby, Jonathan D. H. Smith
APAL
1998
71views more  APAL 1998»
15 years 6 months ago
On the Finiteness of the Recursive Chromatic Number
A recursive graph is a graph whose vertex and edges sets are recursive. A highly recursive graph is a recursive graph that also has the following property: one can recursively det...
William I. Gasarch, Andrew C. Y. Lee
ISAAC
2007
Springer
183views Algorithms» more  ISAAC 2007»
16 years 23 days ago
The Complexity of Finding Subgraphs Whose Matching Number Equals the Vertex Cover Number
The class of graphs where the size of a minimum vertex cover equals that of a maximum matching is known as K¨onig-Egerv´ary graphs. K¨onig-Egerv´ary graphs have been studied ex...
Sounaka Mishra, Venkatesh Raman, Saket Saurabh, So...
NETWORKS
2010
15 years 5 months ago
Mixed search number and linear-width of interval and split graphs
We show that the mixed search number and the linear-width of interval graphs and of split graphs can be computed in linear time and in polynomial time, respectively.
Fedor V. Fomin, Pinar Heggernes, Rodica Mihai