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COMBINATORICS
2007
88views more  COMBINATORICS 2007»
15 years 1 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
15 years 7 months 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»
15 years 8 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»
15 years 1 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»
15 years 5 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