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MFCS
2004
Springer
15 years 11 months ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...
FSTTCS
2008
Springer
15 years 7 months ago
STCON in Directed Unique-Path Graphs
ABSTRACT. We study the problem of space-efficient polynomial-time algorithms for directed stconnectivity (STCON). Given a directed graph G, and a pair of vertices s, t, the STCON ...
Sampath Kannan, Sanjeev Khanna, Sudeepa Roy
WAW
2007
Springer
162views Algorithms» more  WAW 2007»
16 years 8 days ago
Random Dot Product Graph Models for Social Networks
Inspired by the recent interest in combining geometry with random graph models, we explore in this paper two generalizations of the random dot product graph model proposed by Kraet...
Stephen J. Young, Edward R. Scheinerman
COLOGNETWENTE
2009
15 years 7 months ago
On Self-Duality of Branchwidth in Graphs of Bounded Genus
A graph parameter is self-dual in some class of graphs embeddable in some surface if its value does not change in the dual graph more than a constant factor. Self-duality has been...
Ignasi Sau, Dimitrios M. Thilikos
RSA
2006
80views more  RSA 2006»
15 years 6 months ago
Regular subgraphs of random graphs
In this paper, we prove that there exists a function k = (4 + o(1))k such that G(n, /n) contains a k-regular graph with high probability whenever > k. In the case of k = 3, it...
Béla Bollobás, Jeong Han Kim, Jacque...