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» Homomorphism bounded classes of graphs
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105
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CCCG
2004
15 years 3 months ago
Local properties of geometric graphs
We propose a definition of locality for properties of geometric graphs. We measure the local density of graphs using region-counting distances [8] between pairs of vertices, and w...
Jean Cardinal, Sébastien Collette, Stefan L...
88
Voted
LATIN
2010
Springer
15 years 8 months ago
Optimal Polygonal Representation of Planar Graphs
In this paper, we consider the problem of representing graphs by polygons whose sides touch. We show that at least six sides per polygon are necessary by constructing a class of pl...
Emden R. Gansner, Yifan Hu, Michael Kaufmann, Step...
132
Voted
SPAA
2004
ACM
15 years 7 months ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter
COLOGNETWENTE
2007
15 years 3 months ago
Approximating minimum independent dominating sets in wireless networks
We present the first polynomial-time approximation scheme (PTAS) for the Minimum Independent Dominating Set problem in graphs of polynomially bounded growth. Graphs of bounded gr...
Johann Hurink, Tim Nieberg
102
Voted
COMBINATORICS
2000
81views more  COMBINATORICS 2000»
15 years 1 months ago
Interchangeability of Relevant Cycles in Graphs
The set R of relevant cycles of a graph G is the union of its minimum cycle bases. We introduce a partition of R such that each cycle in a class W can be expressed as a sum of oth...
Petra M. Gleiss, Josef Leydold, Peter F. Stadler