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» On the First-Fit Chromatic Number of Graphs
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STOC
2005
ACM
135views Algorithms» more  STOC 2005»
14 years 8 months ago
Quadratic forms on graphs
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...
WALCOM
2010
IEEE
255views Algorithms» more  WALCOM 2010»
14 years 2 months ago
Harmonious Coloring on Subclasses of Colinear Graphs
Given a simple graph G, a harmonious coloring of G is a proper vertex coloring such that each pair of colors appears together on at most one edge. The harmonious chromatic number i...
Kyriaki Ioannidou, Stavros D. Nikolopoulos
STOC
2009
ACM
160views Algorithms» more  STOC 2009»
14 years 8 months ago
CSP gaps and reductions in the lasserre hierarchy
We study integrality gaps for SDP relaxations of constraint satisfaction problems, in the hierarchy of SDPs defined by Lasserre. Schoenebeck [25] recently showed the first integra...
Madhur Tulsiani
CORR
2008
Springer
110views Education» more  CORR 2008»
13 years 7 months ago
Trimmed Moebius Inversion and Graphs of Bounded Degree
We study ways to expedite Yates's algorithm for computing the zeta and Moebius transforms of a function defined on the subset lattice. We develop a trimmed variant of Moebius ...
Andreas Björklund, Thore Husfeldt, Petteri Ka...
CASES
2007
ACM
13 years 11 months ago
An optimistic and conservative register assignment heuristic for chordal graphs
This paper presents a new register assignment heuristic for procedures in SSA Form, whose interference graphs are chordal; the heuristic is called optimistic chordal coloring (OCC...
Philip Brisk, Ajay K. Verma, Paolo Ienne