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» (k, )-Distance-Hereditary Graphs
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151
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STOC
2005
ACM
135views Algorithms» more  STOC 2005»
16 years 4 months ago
Quadratic forms on graphs
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...
135
Voted
FCS
2009
15 years 1 months ago
Spectral Analysis of Attractors in Random Boolean Network Models
Circuits and loops in graph systems can be used to model the attractors in gene-regulatory networks. The number of such attractors grows very rapidly with network size and even fo...
Kenneth A. Hawick
135
Voted
SIAMDM
2011
14 years 11 months ago
Origins of Nonlinearity in Davenport-Schinzel Sequences
Abstract. A generalized Davenport–Schinzel sequence is one over a finite alphabet that excludes subsequences isomorphic to a fixed forbidden subsequence. The fundamental proble...
Seth Pettie
SODA
2012
ACM
205views Algorithms» more  SODA 2012»
13 years 6 months ago
Approximate duality of multicommodity multiroute flows and cuts: single source case
Given an integer h, a graph G = (V, E) with arbitrary positive edge capacities and k pairs of vertices (s1, t1), (s2, t2), . . . , (sk, tk), called terminals, an h-route cut is a ...
Petr Kolman, Christian Scheideler
JCT
2007
111views more  JCT 2007»
15 years 4 months ago
Removing even crossings
An edge in a drawing of a graph is called even if it intersects every other edge of the graph an even number of times. Pach and T´oth proved that a graph can always be redrawn so...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...