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» A graph polynomial for independent sets of bipartite graphs
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COMGEO
2011
ACM
14 years 4 months ago
Characterizations of restricted pairs of planar graphs allowing simultaneous embedding with fixed edges
A set of planar graphs share a simultaneous embedding if they can be drawn on the same vertex set V in the Euclidean plane without crossings between edges of the same graph. Fixed ...
J. Joseph Fowler, Michael Jünger, Stephen G. ...
TCS
2010
14 years 4 months ago
An optimal algorithm to generate rooted trivalent diagrams and rooted triangular maps
Abstract. A trivalent diagram is a connected, two-colored bipartite graph (parallel edges allowed but not loops) such that every black vertex is of degree 1 or 3 and every white ve...
Samuel Alexandre Vidal
INFOCOM
2010
IEEE
14 years 8 months ago
Analyzing the Performance of Greedy Maximal Scheduling via Local Pooling and Graph Theory
—Efficient operation of wireless networks and switches requires using simple (and in some cases distributed) scheduling algorithms. In general, simple greedy algorithms (known a...
Berk Birand, Maria Chudnovsky, Bernard Ries, Paul ...
TCS
2008
14 years 9 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
CORR
2008
Springer
100views Education» more  CORR 2008»
14 years 10 months ago
A note on regular Ramsey graphs
We prove that there is an absolute constant C > 0 so that for every natural n there exists a trianglefree regular graph with no independent set of size at least C n log n.
Noga Alon, Sonny Ben-Shimon, Michael Krivelevich