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COMBINATORICS
2007
88views more  COMBINATORICS 2007»
13 years 7 months ago
Maximum Matchings in Regular Graphs of High Girth
Let G = (V, E) be any d-regular graph with girth g on n vertices, for d ≥ 3. This note shows that G has a maximum matching which includes all but an exponentially small fraction...
Abraham D. Flaxman, Shlomo Hoory
COLT
2004
Springer
14 years 28 days ago
Regularization and Semi-supervised Learning on Large Graphs
We consider the problem of labeling a partially labeled graph. This setting may arise in a number of situations from survey sampling to information retrieval to pattern recognition...
Mikhail Belkin, Irina Matveeva, Partha Niyogi
ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
14 years 1 months ago
G-graphs for the cage problem: a new upper bound
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
Alain Bretto, Luc Gillibert
JCT
2007
117views more  JCT 2007»
13 years 7 months ago
Large independent sets in regular graphs of large girth
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
Joseph Lauer, Nicholas C. Wormald
TAGT
1994
Springer
185views Graph Theory» more  TAGT 1994»
13 years 11 months ago
Concatenation of Graphs
An operation of concatenation is introduced for graphs. Then strings are viewed as expressions denoting graphs, and string languages are interpreted as graph languages. For a clas...
Joost Engelfriet, Jan Joris Vereijken