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EJC
2011
14 years 1 months ago
A Tutte-style proof of Brylawski's tensor product formula
We provide a new proof of Brylawski’s formula for the Tutte polynomial of the tensor product of two matroids. Our proof involves extending Tutte’s formula, expressing the Tutte...
Yuanan Diao, Gábor Hetyei, Kenneth Hinson
89
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FSTTCS
2007
Springer
15 years 3 months ago
Better Algorithms and Bounds for Directed Maximum Leaf Problems
The Directed Maximum Leaf Out-Branching problem is to find an out-branching (i.e. a rooted oriented spanning tree) in a given digraph with the maximum number of leaves. In this pa...
Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael ...
SODA
1992
ACM
252views Algorithms» more  SODA 1992»
14 years 10 months ago
A General Approximation Technique for Constrained Forest Problems
We present a general approximation technique for a large class of graph problems. Our technique mostly applies to problems of covering, at minimum cost, the vertices of a graph wit...
Michel X. Goemans, David P. Williamson
SWAT
2004
Springer
153views Algorithms» more  SWAT 2004»
15 years 2 months ago
Melding Priority Queues
We show that any priority queue data structure that supports insert, delete, and find-min operations in pq(n) time, when n is an upper bound on the number of elements in the prio...
Ran Mendelson, Robert Endre Tarjan, Mikkel Thorup,...

Lecture Notes
443views
16 years 7 months ago
Design and Analysis of Computer Algorithms
"This course will consist of a number of major sections. The first will be a short review of some preliminary material, including asymptotics, summations, and recurrences and ...
David M. Mount