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CORR
2010
Springer
73views Education» more  CORR 2010»
15 years 7 months ago
On Touching Triangle Graphs
Abstract. In this paper, we consider the problem of representing graphs by triangles whose sides touch. We present linear time algorithms for creating touching triangles representa...
Emden R. Gansner, Yifan Hu, Stephen G. Kobourov
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
15 years 7 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
JCO
2007
122views more  JCO 2007»
15 years 7 months ago
Packing 5-cycles into balanced complete m -partite graphs for odd m
Let Kn1,n2,...,nm be a complete m-partite graph with partite sets of sizes n1,n2,...,nm. A complete m-partite graph is balanced if each partite set has n vertices. We denote this c...
Ming-Hway Huang, Chin-Mei Fu, Hung-Lin Fu
IPL
2002
95views more  IPL 2002»
15 years 6 months ago
On a game in directed graphs
Inspired by recent algorithms for electing a leader in a distributed system, we study the following game in a directed graph: each vertex selects one of its outgoing arcs (if any)...
Alan J. Hoffman, Kate Jenkins, Tim Roughgarden
DMTCS
2010
157views Mathematics» more  DMTCS 2010»
15 years 4 months ago
Edge-Removal and Non-Crossing Configurations in Geometric Graphs
A geometric graph is a graph G = (V, E) drawn in the plane, such that V is a point set in general position and E is a set of straight-line segments whose endpoints belong to V . W...
Oswin Aichholzer, Sergio Cabello, Ruy Fabila Monro...