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» On low degree k-ordered graphs
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STOC
2006
ACM
114views Algorithms» more  STOC 2006»
15 years 9 months ago
Linear time low tree-width partitions and algorithmic consequences
Classes of graphs with bounded expansion have been introduced in [15], [12]. They generalize both proper minor closed classes and classes with bounded degree. For any class with b...
Jaroslav Nesetril, Patrice Ossona de Mendez
INFOCOM
2006
IEEE
15 years 3 months ago
Designing Low Cost Networks with Short Routes and Low Congestion
— We design network topologies and routing strategies which optimize several measures simultaneously: low cost, small routing diameter , bounded degree and low congestion. This s...
Van Nguyen, Charles U. Martel
JAIR
1998
92views more  JAIR 1998»
14 years 9 months ago
The Gn, m Phase Transition is Not Hard for the Hamiltonian Cycle Problem
Using an improved backtrack algorithm with sophisticated pruning techniques, we revise previous observations correlating a high frequency of hard to solve Hamiltonian cycle instan...
Basil Vandegriend, Joseph C. Culberson
FCS
2009
14 years 7 months ago
Spectral Analysis of Attractors in Random Boolean Network Models
Circuits and loops in graph systems can be used to model the attractors in gene-regulatory networks. The number of such attractors grows very rapidly with network size and even fo...
Kenneth A. Hawick
CSL
2005
Springer
15 years 3 months ago
The Modular Decomposition of Countable Graphs: Constructions in Monadic Second-Order Logic
We show that the modular decomposition of a countable graph can be defined from this graph, given with an enumeration of its set of vertices, by formulas of Monadic Second-Order l...
Bruno Courcelle, Christian Delhommé