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» On Planar Quasi-Parity Graphs
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DM
2010
86views more  DM 2010»
14 years 12 months ago
Minimum congestion spanning trees in planar graphs
: The main purpose of the paper is to develop an approach to the evaluation or the estimation of the spanning tree congestion of planar graphs. This approach is used to evaluate th...
M. I. Ostrovskii
SODA
1998
ACM
128views Algorithms» more  SODA 1998»
15 years 1 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...
CORR
2008
Springer
74views Education» more  CORR 2008»
14 years 12 months ago
Shortest Vertex-Disjoint Two-Face Paths in Planar Graphs
Abstract. Let G be a directed planar graph of complexity n, each arc having a nonnegative length. Let s and t be two distinct faces of G; let s1, . . . , sk be vertices incident wi...
Éric Colin de Verdière, Alexander Sc...
ADHOC
2005
95views more  ADHOC 2005»
14 years 11 months ago
Planar graph routing on geographical clusters
Geographic routing protocols base their forwarding decisions on the location of the current device, its neighbors, and the packets destination. Early proposed heuristic greedy rou...
Hannes Frey, Daniel Görgen
ALGORITHMICA
2006
138views more  ALGORITHMICA 2006»
14 years 12 months ago
Planar Graph Coloring Avoiding Monochromatic Subgraphs: Trees and Paths Make It Difficult
We consider the problem of coloring a planar graph with the minimum number of colors so that each color class avoids one or more forbidden graphs as subgraphs. We perform a detail...
Hajo Broersma, Fedor V. Fomin, Jan Kratochví...