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» The Strongly Regular (45, 12, 3, 3) Graphs
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ECCC
2010
82views more  ECCC 2010»
13 years 7 months ago
A Strong Parallel Repetition Theorem for Projection Games on Expanders
The parallel repetition theorem states that for any Two Prover Game with value at most 1 - (for < 1/2), the value of the game repeated n times in parallel is at most (1 - 3 )(n...
Ran Raz
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
CORR
2011
Springer
202views Education» more  CORR 2011»
13 years 2 months ago
High Degree Vertices, Eigenvalues and Diameter of Random Apollonian Networks
ABSTRACT. Upon the discovery of power laws [8, 16, 30], a large body of work in complex network analysis has focused on developing generative models of graphs which mimick real-wor...
Alan M. Frieze, Charalampos E. Tsourakakis
ICCV
2007
IEEE
14 years 9 months ago
Capacity Scaling for Graph Cuts in Vision
Capacity scaling is a hierarchical approach to graph representation that can improve theoretical complexity and practical efficiency of max-flow/min-cut algorithms. Introduced by ...
Olivier Juan, Yuri Boykov
ESA
2006
Springer
137views Algorithms» more  ESA 2006»
13 years 11 months ago
Deciding Relaxed Two-Colorability - A Hardness Jump
A coloring is proper if each color class induces connected components of order one (where the order of a graph is its number of vertices). Here we study relaxations of proper two-c...
Robert Berke, Tibor Szabó