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» On Planar Quasi-Parity Graphs
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JGAA
2008
97views more  JGAA 2008»
13 years 7 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»
13 years 7 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»
13 years 8 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
13 years 11 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»
13 years 7 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