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» The Strongly Regular (45, 12, 3, 3) Graphs
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ECCC
2010
82views more  ECCC 2010»
13 years 4 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 4 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»
12 years 11 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 6 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 8 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