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» Graphs with Large Obstacle Numbers
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DAGSTUHL
2006
13 years 11 months ago
Very Large Cliques are Easy to Detect
It is known that, for every constant k 3, the presence of a k-clique (a complete subgraph on k vertices) in an n-vertex graph cannot be detected by a monotone boolean circuit usi...
Alexander E. Andreev, Stasys Jukna
DM
2008
68views more  DM 2008»
13 years 9 months ago
Heavy cycles in k-connected weighted graphs with large weighted degree sums
A weighted graph is one in which every edge e is assigned a nonnegative number w(e), called the weight of e. The weight of a cycle is defined as the sum of the weights of its edge...
Bing Chen, Shenggui Zhang, T. C. Edwin Cheng
STACS
2010
Springer
14 years 4 months ago
Evasiveness and the Distribution of Prime Numbers
Abstract. A Boolean function on N variables is called evasive if its decision-tree complexity is N. A sequence Bn of Boolean functions is eventually evasive if Bn is evasive for al...
László Babai, Anandam Banerjee, Ragh...
ADHOCNOW
2004
Springer
14 years 3 months ago
Approximating the Minimum Number of Maximum Power Users in Ad Hoc Networks
Topology control is the problem of assigning transmission power values to the nodes of an ad hoc network so that the induced graph satisfies some specified property. The most fun...
Errol L. Lloyd, Rui Liu, S. S. Ravi
GD
2004
Springer
14 years 3 months ago
A Note on the Self-similarity of Some Orthogonal Drawings
Large graphs are difficult to browse and to visually explore. This note adds up evidence that some graph drawing techniques, which produce readable layouts when applied to medium-s...
Maurizio Patrignani