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» Independence in Direct-Product Graphs
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112
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ISAAC
2009
Springer
140views Algorithms» more  ISAAC 2009»
15 years 7 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
136
Voted
GC
2008
Springer
15 years 21 days ago
Laplacian Spectrum of Weakly Quasi-threshold Graphs
In this paper we study the class of weakly quasi-threshold graphs that are obtained from a vertex by recursively applying the operations (i) adding a new isolated vertex, (ii) addi...
R. B. Bapat, A. K. Lal, Sukanta Pati
JCT
2007
96views more  JCT 2007»
15 years 16 days ago
Induced subgraphs of Ramsey graphs with many distinct degrees
An induced subgraph is called homogeneous if it is either a clique or an independent set. Let hom(G) denote the size of the largest homogeneous subgraph of a graph G. In this shor...
Boris Bukh, Benny Sudakov
ICDE
2007
IEEE
134views Database» more  ICDE 2007»
16 years 2 months ago
Graph Database Indexing Using Structured Graph Decomposition
We introduce a novel method of indexing graph databases in order to facilitate subgraph isomorphism and similarity queries. The index is comprised of two major data structures. Th...
David W. Williams, Jun Huan, Wei Wang 0010
CORR
2004
Springer
83views Education» more  CORR 2004»
15 years 15 days ago
A proof of Alon's second eigenvalue conjecture and related problems
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. Consider for an even d 4, a random d-regular graph model formed from d/2 uniform, independent permutat...
Joel Friedman