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» On the Maximum Number of Cliques in a Graph
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APPML
2007
101views more  APPML 2007»
15 years 6 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»
15 years 6 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»
15 years 6 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
16 years 21 days 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»
16 years 7 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