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» On the maximum number of edges in quasi-planar graphs
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SIAMDM
2010
128views more  SIAMDM 2010»
14 years 10 months ago
Permutation Capacities of Families of Oriented Infinite Paths
K¨orner and Malvenuto asked whether one can find n n/2 linear orderings (i.e., permutations) of the first n natural numbers such that any pair of them places two consecutive int...
Graham Brightwell, Gérard D. Cohen, Emanuel...
COMGEO
2011
ACM
14 years 6 months ago
A computational approach to Conway's thrackle conjecture
A drawing of a graph in the plane is called a thrackle if every pair of edges meets precisely once, either at a common vertex or at a proper crossing. Let t(n) denote the maximum ...
Radoslav Fulek, János Pach
CORR
2008
Springer
141views Education» more  CORR 2008»
14 years 12 months ago
Obfuscated Drawings of Planar Graphs
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an i...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...
ISPDC
2005
IEEE
15 years 5 months ago
A Distributed Prime Sieving Algorithm based on Scheduling by Multiple Edge Reversal
Abstract— In this article, we propose a fully distributed algorithm for finding all primes in an given interval [2..n] (or (L, R), more generally), based on the SMER — Schedul...
Gabriel Paillard, Christian Antoine Louis Lavault,...
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
15 years 3 months ago
A Separator Theorem for Graphs with an Excluded Minor and its Applications
ions (Extended Abstract) Noga Alon Paul Seymour Robin Thomas Let G be an n-vertex graph with nonnegative weights whose sum is 1 assigned to its vertices, and with no minor isomorp...
Noga Alon, Paul D. Seymour, Robin Thomas