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COCO
2009
Springer
119views Algorithms» more  COCO 2009»
14 years 2 months ago
An Approximation Algorithm for Approximation Rank
One of the strongest techniques available for showing lower bounds on quantum communication complexity is the logarithm of the approximation rank of the communication matrix— th...
Troy Lee, Adi Shraibman
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
14 years 2 months ago
An Almost Optimal Rank Bound for Depth-3 Identities
—We show that the rank of a depth-3 circuit (over any field) that is simple, minimal and zero is at most O(k3 log d). The previous best rank bound known was 2O(k2 ) (log d)k−2...
Nitin Saxena, C. Seshadhri
COCOA
2009
Springer
14 years 2 months ago
Improved Bounds for Facility Location Games with Fair Cost Allocation
Abstract. We study Facility Location games played by n agents situated on the nodes of a graph. Each agent orders installation of a facility at a node of the graph and pays connect...
Thomas Dueholm Hansen, Orestis Telelis
COCOON
2009
Springer
14 years 2 months ago
Strongly Chordal and Chordal Bipartite Graphs Are Sandwich Monotone
A graph class is sandwich monotone if, for every pair of its graphs G1 = (V, E1) and G2 = (V, E2) with E1 ⊂ E2, there is an ordering e1, . . . , ek of the edges in E2 \ E1 such ...
Pinar Heggernes, Federico Mancini, Charis Papadopo...
CSR
2009
Springer
14 years 2 months ago
Partitioning Graphs into Connected Parts
The 2-Disjoint Connected Subgraphs problem asks if a given graph has two vertex-disjoint connected subgraphs containing prespecified sets of vertices. We show that this problem is...
Pim van 't Hof, Daniël Paulusma, Gerhard J. W...