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» New upper bounds on the decomposability of planar graphs
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JCT
2007
146views more  JCT 2007»
13 years 6 months ago
Laplacian spectral bounds for clique and independence numbers of graphs
Let G be a simple graph with n vertices and m edges. Let ω(G) and α(G) be the numbers of vertices of the largest clique and the largest independent set in G, respectively. In th...
Mei Lu, Huiqing Liu, Feng Tian
VTS
2006
IEEE
93views Hardware» more  VTS 2006»
14 years 22 days ago
Upper Bounding Fault Coverage by Structural Analysis and Signal Monitoring
A new algorithm for identifying stuck faults in combinational circuits that cannot be detected by a given input sequence is presented. Other than pre and post-processing steps, ce...
Vishwani D. Agrawal, Soumitra Bose, Vijay Gangaram
SIAMDM
2008
140views more  SIAMDM 2008»
13 years 6 months ago
Bounds for the Real Number Graph Labellings and Application to Labellings of the Triangular Lattice
We establish new lower and upper bounds for the real number graph labelling problem. As an application, we completely determine the optimum spans of L(p, q)-labellings of the infin...
Daniel Král, Petr Skoda
DIALM
2003
ACM
175views Algorithms» more  DIALM 2003»
13 years 12 months ago
Localized construction of bounded degree and planar spanner for wireless ad hoc networks
We propose a novel localized algorithm that constructs a bounded degree and planar spanner for wireless ad hoc networks modeled by unit disk graph (UDG). Every node only has to kn...
Yu Wang 0003, Xiang-Yang Li
STOC
2006
ACM
174views Algorithms» more  STOC 2006»
14 years 7 months ago
Edge-disjoint paths in Planar graphs with constant congestion
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs s1t1, s2t2, . . ., sktk, the goal is to maximize the number of pairs t...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd