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» On Bounds for the k-Partitioning of Graphs
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SIAMDM
2010
170views more  SIAMDM 2010»
14 years 4 months ago
Complete Minors and Independence Number
Let G be a graph with n vertices and independence number . Hadwiger's conjecture implies that G contains a clique minor of order at least n/. In 1982, Duchet and Meyniel prov...
Jacob Fox
JCT
2007
140views more  JCT 2007»
14 years 9 months ago
Homomorphisms and edge-colourings of planar graphs
We conjecture that every planar graph of odd-girth 2k + 1 admits a homomorphism to Cayley graph C(Z2k+1 2 , S2k+1), with S2k+1 being the set of (2k + 1)vectors with exactly two co...
Reza Naserasr
SODA
2012
ACM
245views Algorithms» more  SODA 2012»
13 years 8 days ago
Lower bounds for number-in-hand multiparty communication complexity, made easy
In this paper we prove lower bounds on randomized multiparty communication complexity, both in the blackboard model (where each message is written on a blackboard for all players ...
Jeff M. Phillips, Elad Verbin, Qin Zhang
DAM
1999
90views more  DAM 1999»
14 years 9 months ago
Note on a Helicopter Search Problem on Graphs
We consider a search game on a graph in which one cop in a helicopter flying from vertex to vertex tries to catch the invisible robber. The existence of the winning program for th...
Fedor V. Fomin
JDA
2010
122views more  JDA 2010»
14 years 4 months ago
Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs
We present subexponential parameterized algorithms on planar graphs for a family of problems of the following shape: given a graph, find a connected (induced) subgraph with bounde...
Ignasi Sau, Dimitrios M. Thilikos