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» Maximum pebbling number of graphs of diameter three
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JGT
2006
48views more  JGT 2006»
13 years 4 months ago
Maximum pebbling number of graphs of diameter three
Given a configuration of pebbles on the vertices of a graph G, a pebbling move consists of taking two pebbles off some vertex v and putting one of them back on a vertex adjacent t...
Boris Bukh
DM
2008
177views more  DM 2008»
13 years 4 months ago
The independence number in graphs of maximum degree three
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...
ENDM
2007
91views more  ENDM 2007»
13 years 4 months ago
On facets of stable set polytopes of claw-free graphs with stability number three
Providing a complete description of the stable set polytopes of claw-free graphs is a longstanding open problem since almost twenty years. Eisenbrandt et al. recently achieved a b...
Arnaud Pêcher, Pierre Pesneau, Annegret Wagl...
JCT
2007
90views more  JCT 2007»
13 years 4 months ago
On the maximum number of edges in quasi-planar graphs
A topological graph is quasi-planar, if it does not contain three pairwise crossing edges. Agarwal et al. [2] proved that these graphs have a linear number of edges. We give a sim...
Eyal Ackerman, Gábor Tardos
INFOCOM
2008
IEEE
13 years 11 months ago
Multicast Tree Diameter for Dynamic Distributed Interactive Applications
Abstract—Latency reduction in distributed interactive applications has been studied intensively. Such applications may have stringent latency requirements and dynamic user groups...
Knut-Helge Vik, Pål Halvorsen, Carsten Griwo...