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ESCAPE
2007
Springer
256views Algorithms» more  ESCAPE 2007»
15 years 1 months ago
A More Effective Linear Kernelization for Cluster Editing
In the NP-hard Cluster Editing problem, we have as input an undirected graph G and an integer k 0. The question is whether we can transform G, by inserting and deleting at most k ...
Jiong Guo
SCN
2008
Springer
128views Communications» more  SCN 2008»
14 years 9 months ago
On Linear Secret Sharing for Connectivity in Directed Graphs
In this work we study linear secret sharing schemes for s-t connectivity in directed graphs. In such schemes the parties are edges of a complete directed graph, and a set of partie...
Amos Beimel, Anat Paskin
FOCS
2007
IEEE
15 years 4 months ago
Non-Linear Index Coding Outperforming the Linear Optimum
The following source coding problem was introduced by Birk and Kol: a sender holds a word x ∈ {0, 1}n , and wishes to broadcast a codeword to n receivers, R1, . . . , Rn. The re...
Eyal Lubetzky, Uri Stav
GD
1995
Springer
15 years 1 months ago
On Representations of Some Thickness-Two Graphs
This paper considers representations of graphs as rectangle-visibility graphs and as doubly linear graphs. These are, respectively, graphs whose vertices are isothetic rectangles ...
Joan P. Hutchinson, Thomas C. Shermer, Andrew Vinc...
CPC
2004
92views more  CPC 2004»
14 years 9 months ago
Large Topological Cliques in Graphs Without a 4-Cycle
Mader asked whether every C4-free graph G contains a subdivision of a complete graph whose order is at least linear in the average degree of G. We show that there is a subdivision...
Daniela Kühn, Deryk Osthus