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» Stochastic Minority on Graphs
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ISAAC
2010
Springer
230views Algorithms» more  ISAAC 2010»
13 years 5 months ago
Seidel Minor, Permutation Graphs and Combinatorial Properties
A permutation graph is an intersection graph of segments lying between two parallel lines. A Seidel complementation of a finite graph at a vertex v consists in complementing the ed...
Vincent Limouzy
DM
2010
89views more  DM 2010»
13 years 7 months ago
Unavoidable topological minors of infinite graphs
A graph G is loosely-c-connected, or -c-connected, if there exists a number d depending on G such that the deletion of fewer than c vertices from G leaves precisely one infinite co...
Carolyn Chun, Guoli Ding
DM
2006
101views more  DM 2006»
13 years 7 months ago
Cycle double covers and spanning minors II
In this paper we continue our investigations from [HM01] regarding spanning subgraphs which imply the existence of cycle double covers. We prove that if a cubic graph G has a spann...
Roland Häggkvist, Klas Markström
STOC
1990
ACM
135views Algorithms» more  STOC 1990»
13 years 11 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
ECCC
2008
122views more  ECCC 2008»
13 years 7 months ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira