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» On the Maximum Number of Cliques in a Graph
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APPML
2007
101views more  APPML 2007»
13 years 7 months ago
Extension of a theorem of Whitney
It is shown that every planar graph with no separating triangles is a subgraph of a Hamiltonian planar graph; that is, Whitney’s theorem holds without the assumption of a triang...
Paul C. Kainen, Shannon Overbay
COMBINATORICA
2008
84views more  COMBINATORICA 2008»
13 years 7 months ago
Parity check matrices and product representations of squares
Let NF(n, k, r) denote the maximum number of columns in an n-row matrix with entries in a finite field F in which each column has at most r nonzero entries and every k columns are...
Assaf Naor, Jacques Verstraëte
IPL
2006
97views more  IPL 2006»
13 years 7 months ago
A fixed-parameter tractability result for multicommodity demand flow in trees
We study an NP-hard (and MaxSNP-hard) problem in trees--Multicommodity Demand Flow--dealing with demand flows between pairs of nodes and trying to maximize the value of the routed...
Jiong Guo, Rolf Niedermeier
MOBICOM
2006
ACM
14 years 1 months ago
On the complexity of scheduling in wireless networks
We consider the problem of throughput-optimal scheduling in wireless networks subject to interference constraints. We model the interference using a family of K-hop interference m...
Gaurav Sharma, Ravi R. Mazumdar, Ness B. Shroff
STOC
2009
ACM
123views Algorithms» more  STOC 2009»
14 years 8 months ago
An improved constant-time approximation algorithm for maximum~matchings
This paper studies constant-time approximation algorithms for problems on degree-bounded graphs. Let n and d be the number of vertices and the degree bound, respectively. This pap...
Yuichi Yoshida, Masaki Yamamoto, Hiro Ito