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COMBINATORICS
2007
68views more  COMBINATORICS 2007»
14 years 9 months ago
Compositions of Graphs Revisited
The idea of graph compositions, which was introduced by A. Knopfmacher and M. E. Mays, generalizes both ordinary compositions of positive integers and partitions of finite sets. ...
Aminul Huq
GD
1994
Springer
15 years 1 months ago
Visibility Graphs and Oriented Matroids
We describe a set of necessary conditions for a given graph to be the visibility graph of a simple polygon. For every graph satisfying these conditions we show that a uniform rank ...
James Abello, Krishna Kumar
PKDD
2005
Springer
145views Data Mining» more  PKDD 2005»
15 years 3 months ago
A Correspondence Between Maximal Complete Bipartite Subgraphs and Closed Patterns
For an undirected graph ¢ without self-loop, we prove: (i) that the number of closed patterns in the adjacency matrix of ¢ is even; (ii) that the number of the closed patterns i...
Jinyan Li, Haiquan Li, Donny Soh, Limsoon Wong
ISAAC
2009
Springer
140views Algorithms» more  ISAAC 2009»
15 years 4 months ago
Shifting Strategy for Geometric Graphs without Geometry
We give a simple framework which is an alternative to the celebrated and widely used shifting strategy of Hochbaum and Maass [J. ACM, 1985] which has yielded efficient algorithms ...
Imran A. Pirwani
CPC
2006
92views more  CPC 2006»
14 years 9 months ago
Waiting for a Bat to Fly By (in Polynomial Time)
We observe returns of a simple random walk on a finite graph to a fixed node, and would like to infer properties of the graph, in particular properties of the spectrum of the trans...
Itai Benjamini, Gady Kozma, László L...