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» Diameter bounds for planar graphs
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COMPGEOM
2006
ACM
15 years 3 months ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
ALGORITHMICA
2004
150views more  ALGORITHMICA 2004»
14 years 9 months ago
Sum Coloring of Bipartite Graphs with Bounded Degree
We consider the Chromatic Sum Problem on bipartite graphs which appears to be much harder than the classical Chromatic Number Problem. We prove that the Chromatic Sum Problem is NP...
Michal Malafiejski, Krzysztof Giaro, Robert Jancze...
DM
2002
97views more  DM 2002»
14 years 9 months ago
Resonance graphs of catacondensed even ring systems are median
Let G be a planar embedded 2-connected graph. Then the vertices of its resonance graph R(G) are the 1-factors of G, two 1-factors being adjacent whenever their symmetric differenc...
Sandi Klavzar, Petra Zigert, Gunnar Brinkmann
IJCM
2008
72views more  IJCM 2008»
14 years 9 months ago
ROMAN DOMINATION: a parameterized perspective
Abstract. We analyze Roman domination from a parameterized perspective. More specifically, we prove that this problem is W[2]-complete for general graphs. However, parameterized al...
Henning Fernau
SPAA
2010
ACM
15 years 2 months ago
Basic network creation games
We study a natural network creation game, in which each node locally tries to minimize its local diameter or its local average distance to other nodes, by swapping one incident ed...
Noga Alon, Erik D. Demaine, MohammadTaghi Hajiagha...