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JCT
2010
127views more  JCT 2010»
14 years 11 months ago
On the density of a graph and its blowup
It is well-known that, of all graphs with edge-density p, the random graph G(n, p) contains the smallest density of copies of Kt,t, the complete bipartite graph of size 2t. Since ...
Asaf Shapira, Raphael Yuster
ITA
2006
163views Communications» more  ITA 2006»
15 years 4 months ago
Graph fibrations, graph isomorphism, and PageRank
PageRank is a ranking method that assigns scores to web pages using the limit distribution of a random walk on the web graph. A fibration of graphs is a morphism that is a local i...
Paolo Boldi, Violetta Lonati, Massimo Santini, Seb...
GBRPR
2009
Springer
15 years 2 months ago
Electric Field Theory Motivated Graph Construction for Optimal Medical Image Segmentation
In this paper, we present a novel graph construction method and demonstrate its usage in a broad range of applications starting from a relatively simple single-surface segmentation...
Yin Yin, Qi Song, Milan Sonka
129
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COMPGEOM
2010
ACM
15 years 9 months ago
Output-sensitive algorithm for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n cellularly embedded in a surface (orientable or not) of genus g. We describe improved algorithms to compute (the length of) a shortest...
Sergio Cabello, Éric Colin de Verdiè...
ESA
2007
Springer
155views Algorithms» more  ESA 2007»
15 years 8 months ago
Complete, Exact and Efficient Implementation for Computing the Adjacency Graph of an Arrangement of Quadrics
We present a complete, exact and efficient implementation to compute the adjacency graph of an arrangement of quadrics, i.e. surfaces of algebraic degree 2. This is a major step t...
Laurent Dupont, Michael Hemmer, Sylvain Petitjean,...