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» On plane bipartite graphs without fixed edges
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ESA
2004
Springer
132views Algorithms» more  ESA 2004»
14 years 1 months ago
Seeking a Vertex of the Planar Matching Polytope in NC
For planar graphs, counting the number of perfect matchings (and hence determining whether there exists a perfect matching) can be done in NC [4, 10]. For planar bipartite graphs, ...
Raghav Kulkarni, Meena Mahajan
COMGEO
2007
ACM
13 years 7 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
APPML
2008
159views more  APPML 2008»
13 years 7 months ago
The rook problem on saw-toothed chessboards
A saw-toothed chessboard, or STC for short, is a kind of chessboard whose boundary forms two staircases from left down to right without any hole inside it. A rook at square (i, j)...
Hon-Chan Chen, Ting-Yem Ho
SIGMETRICS
2008
ACM
115views Hardware» more  SIGMETRICS 2008»
13 years 7 months ago
Densification arising from sampling fixed graphs
During the past decade, a number of different studies have identified several peculiar properties of networks that arise from a diverse universe, ranging from social to computer n...
Pedram Pedarsani, Daniel R. Figueiredo, Matthias G...
DCG
2010
135views more  DCG 2010»
13 years 7 months ago
Universal Sets of n Points for One-bend Drawings of Planar Graphs with n Vertices
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...