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» On the Number of Cycles in Planar Graphs
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EJC
2008
13 years 7 months ago
Coloring squares of planar graphs with girth six
Wang and Lih conjectured that for every g 5, there exists a number M(g) such that the square of a planar graph G of girth at least g and maximum degree M(g) is (+1)-colorable. ...
Zdenek Dvorak, Daniel Král, Pavel Nejedl&ya...
ENDM
2007
68views more  ENDM 2007»
13 years 7 months ago
List Colouring Squares of Planar Graphs
In 1977, Wegner conjectured that the chromatic number of the square of every planar graph G with maximum degree ∆ ≥ 8 is at most 3
Frédéric Havet, Jan van den Heuvel, ...
PPL
2000
91views more  PPL 2000»
13 years 7 months ago
A Parallel Algorithm for Planar Orthogonal Grid Drawings
In this paper we consider the problem of constructing planar orthogonal grid drawings or more simply, layouts of graphs, with the goal of minimizing the number of bends along the ...
Roberto Tamassia, Ioannis G. Tollis, Jeffrey Scott...
JGT
2010
91views more  JGT 2010»
13 years 6 months ago
Choosability of toroidal graphs without short cycles
: Let G be a toroidal graph without cycles of a fixed length k, and l(G) the list chromatic number of G. We establish tight upper bounds Contract grant sponsor: RGC; Contract grant...
Leizhen Cai, Weifan Wang, Xuding Zhu
ENDM
2008
123views more  ENDM 2008»
13 years 7 months ago
Morphing Planar Graph Drawings with Bent Edges
We give an algorithm to morph between two planar drawings of a graph, preserving planarity, but allowing edges to bend. The morph uses a polynomial number of elementary steps, whe...
Anna Lubiw, Mark Petrick