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» Bichain graphs: Geometric model and universal graphs
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GD
2005
Springer
13 years 11 months ago
Graph Treewidth and Geometric Thickness Parameters
Consider a drawing of a graph G in the plane such that crossing edges are coloured differently. The minimum number of colours, taken over all drawings of G, is the classical graph...
Vida Dujmovic, David R. Wood
DIALM
2008
ACM
96views Algorithms» more  DIALM 2008»
13 years 7 months ago
Modelling gateway placement in wireless networks: geometric k-centres of unit disc graphs
Stephane Durocher, Krishnam Raju Jampani, Anna Lub...
WAW
2007
Springer
162views Algorithms» more  WAW 2007»
13 years 12 months ago
Random Dot Product Graph Models for Social Networks
Inspired by the recent interest in combining geometry with random graph models, we explore in this paper two generalizations of the random dot product graph model proposed by Kraet...
Stephen J. Young, Edward R. Scheinerman
COCOON
2007
Springer
13 years 12 months ago
Colored Simultaneous Geometric Embeddings
We introduce the concept of colored simultaneous geometric embeddings as a generalization of simultaneous graph embeddings with and without mapping. We show that there exists a uni...
Ulrik Brandes, Cesim Erten, J. Joseph Fowler, Fabr...
TNN
2010
147views Management» more  TNN 2010»
13 years 14 days ago
Theoretical Model for Mesoscopic-Level Scale-Free Self-Organization of Functional Brain Networks
In this paper we provide theoretical and numerical analysis of a geometric activity flow network model which is aimed at explaining mathematically the scale-free functional graph s...
J. Piersa, Filip Piekniewski, Tomasz Schreiber