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AML
2010
98views more  AML 2010»
13 years 9 months ago
Small universal families for graphs omitting cliques without GCH
When no single universal model for a set of structures exists at a given cardinal, then one may ask in which models of set theory does there exist a small family which embeds the r...
Katherine Thompson
JDA
2008
88views more  JDA 2008»
13 years 9 months ago
Combinatorial 5/6-approximation of Max Cut in graphs of maximum degree 3
The best approximation algorithm for Max Cut in graphs of maximum degree 3 uses semidefinite programming, has approximation ratio 0.9326, and its running time is (n3.5 log n) ; bu...
Cristina Bazgan, Zsolt Tuza
JCT
2006
79views more  JCT 2006»
13 years 8 months ago
A characterization of cocircuit graphs of uniform oriented matroids
The cocircuit graph of an oriented matroid is the 1-skeleton of the cellular decomposition induced by the Topological Representation Theorem due to Folkman and Lawrence (1978) [J....
Juan José Montellano-Ballesteros, Ricardo S...
EJC
2007
13 years 8 months ago
Representations of directed strongly regular graphs
We develop a theory of representations in Rm for directed strongly regular graphs, which gives a new proof of a nonexistence condition of Jørgensen [8]. We also describe some new...
Chris D. Godsil, Sylvia A. Hobart, William J. Mart...
DAM
2000
84views more  DAM 2000»
13 years 8 months ago
Three-dimensional orthogonal graph drawing algorithms
We use basic results from graph theory to design algorithms for constructing three-dimensional, intersection-free orthogonal grid drawings of n vertex graphs of maximum degree 6. ...
Peter Eades, Antonios Symvonis, Sue Whitesides