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» New upper bounds on the decomposability of planar graphs
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SIAMDM
2008
148views more  SIAMDM 2008»
13 years 6 months ago
A New Algorithm for On-line Coloring Bipartite Graphs
We first show that for any bipartite graph H with at most five vertices, there exists an on-line competitive algorithm for the class of H-free bipartite graphs. We then analyze th...
Hajo Broersma, Agostino Capponi, Daniël Paulu...
ECCC
2010
143views more  ECCC 2010»
13 years 4 months ago
Space-Efficient Algorithms for Reachability in Surface-Embedded Graphs
We consider the reachability problem for a certain class of directed acyclic graphs embedded on surfaces. Let G(m, g) be the class of directed acyclic graphs with m = m(n) source ...
Derrick Stolee, N. V. Vinodchandran
CORR
2010
Springer
95views Education» more  CORR 2010»
13 years 6 months ago
A New Lower Bound on the Density of Vertex Identifying Codes for the Infinite Hexagonal Grid
Given a graph G, an identifying code D V (G) is a vertex set such that for any two distinct vertices v1, v2 V (G), the sets N[v1] D and N[v2] D are distinct and nonempty (here...
Daniel W. Cranston, Gexin Yu
JGAA
2006
127views more  JGAA 2006»
13 years 6 months ago
A New Algorithm for Finding Minimal Cycle-Breaking Sets of Turns in a Graph
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...
ESA
2005
Springer
145views Algorithms» more  ESA 2005»
14 years 8 days ago
Approximation Schemes for Minimum 2-Connected Spanning Subgraphs in Weighted Planar Graphs
Abstract. We present new approximation schemes for various classical problems of finding the minimum-weight spanning subgraph in edge-weighted undirected planar graphs that are re...
André Berger, Artur Czumaj, Michelangelo Gr...