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» A study of the total chromatic number of equibipartite graph...
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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,...
SIAMCOMP
2000
104views more  SIAMCOMP 2000»
13 years 7 months ago
On the Difficulty of Designing Good Classifiers
We consider the problem of designing a near-optimal linear decision tree to classify two given point sets B and W in n. A linear decision tree de nes a polyhedral subdivision of sp...
Michelangelo Grigni, Vincent Mirelli, Christos H. ...
JGT
2007
99views more  JGT 2007»
13 years 7 months ago
Backbone colorings for graphs: Tree and path backbones
We introduce and study backbone colorings, a variation on classical vertex colorings: Given a graph G = (V, E) and a spanning subgraph H of G (the backbone of G), a backbone color...
Hajo Broersma, Fedor V. Fomin, Petr A. Golovach, G...
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...
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