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» On the Queue Number of Planar Graphs
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COMGEO
2007
ACM
14 years 9 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood
ATMOS
2010
134views Optimization» more  ATMOS 2010»
14 years 8 months ago
Vertex Disjoint Paths for Dispatching in Railways
We study variants of the vertex disjoint paths problem in planar graphs where paths have to be selected from a given set of paths. We study the problem as a decision, maximization...
Holger Flier, Matús Mihalák, Anita S...
JGT
2008
103views more  JGT 2008»
14 years 9 months ago
Game coloring the Cartesian product of graphs
: This article proves the following result: Let G and G be graphs of orders n and n , respectively. Let G be obtained from G by adding to each vertex a set of n degree 1 neighbors....
Xuding Zhu
70
Voted
ICIP
2002
IEEE
15 years 11 months ago
On the non-optimality of four color coding of image partitions
Recent interest in region based image coding has given rise to graph coloring based partition encoding methods. These methods are based on the four color theorem for planar graphs...
Sameer Agarwal, Serge Belongie
MFCS
2004
Springer
15 years 3 months ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...