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» Constructing vertex-disjoint paths in (n, k)-star graphs
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STOC
1992
ACM
122views Algorithms» more  STOC 1992»
13 years 9 months ago
Existence and Construction of Edge Disjoint Paths on Expander Graphs
Given an expander graph G = (V, E) and a set of q disjoint pairs of vertices in V , we are interested in finding for each pair (ai, bi), a path connecting ai to bi, such that the ...
Andrei Z. Broder, Alan M. Frieze, Eli Upfal
APPROX
2004
Springer
135views Algorithms» more  APPROX 2004»
13 years 10 months ago
The Diameter of Randomly Perturbed Digraphs and Some Applications.
The central observation of this paper is that if ǫn random arcs are added to any n-node strongly connected digraph with bounded degree then the resulting graph has diameter O(ln ...
Abraham Flaxman, Alan M. Frieze
COMBINATORICS
2006
107views more  COMBINATORICS 2006»
13 years 5 months ago
A Note on the Number of Hamiltonian Paths in Strong Tournaments
We prove that the minimum number of distinct hamiltonian paths in a strong tournament of order n is 5 n-1 3 . A known construction shows this number is best possible when n 1 mod...
Arthur H. Busch
IPL
2006
95views more  IPL 2006»
13 years 5 months ago
Smaller superconcentrators of density 28
An N-superconcentrator is a directed, acyclic graph with N input nodes and N output nodes such that every subset of the inputs and every subset of the outputs of same cardinality ...
Uwe Schöning
CORR
2010
Springer
180views Education» more  CORR 2010»
13 years 2 months ago
Shortest path problem in rectangular complexes of global nonpositive curvature
Abstract. CAT(0) metric spaces constitute a far-reaching common generalization of Euclidean and hyperbolic spaces and simple polygons: any two points x and y of a CAT(0) metric spa...
Victor Chepoi, Daniela Maftuleac