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» On Planar Quasi-Parity Graphs
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JGAA
2008
97views more  JGAA 2008»
14 years 11 months ago
Drawing Bipartite Graphs on Two Parallel Convex Curves
Let G be a bipartite graph, and let e, i be two parallel convex curves; we study the question about whether G admits a planar straight-line drawing such that the vertices of one p...
Emilio Di Giacomo, Luca Grilli, Giuseppe Liotta
JGT
2008
103views more  JGT 2008»
14 years 11 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
DM
2010
78views more  DM 2010»
14 years 12 months ago
Injective colorings of sparse graphs
Let Mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if Mad(G) 5 2 , then i(G) + 1; sim...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
GD
2007
Springer
15 years 3 months ago
Efficient Extraction of Multiple Kuratowski Subdivisions
Abstract. A graph is planar if and only if it does not contain a Kuratowski subdivision. Hence such a subdivision can be used as a witness for non-planarity. Modern planarity testi...
Markus Chimani, Petra Mutzel, Jens M. Schmidt
JDA
2007
97views more  JDA 2007»
14 years 11 months ago
Local solutions for global problems in wireless networks
In this paper, we review a recently developed class of algorithms that solve global problems in unit distance wireless networks by means of local algorithms. A local algorithm is ...
Jorge Urrutia