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FSTTCS
2001
Springer
13 years 12 months ago
The Directed Minimum-Degree Spanning Tree Problem
Consider a directed graph G = (V, E) with n vertices and a root vertex r ∈ V . The DMDST problem for G is one of constructing a spanning tree rooted at r, whose maximal degree is...
Radha Krishnan, Balaji Raghavachari
CIE
2005
Springer
14 years 27 days ago
Computably Enumerable Sets in the Solovay and the Strong Weak Truth Table Degrees
The strong weak truth table reducibility was suggested by Downey, Hirschfeldt, and LaForte as a measure of relative randomness, alternative to the Solovay reducibility. It also occ...
George Barmpalias
APAL
2007
88views more  APAL 2007»
13 years 7 months ago
Randomness and the linear degrees of computability
We show that there exists a real α such that, for all reals β, if α is linear reducible to β (α ≤ β, previously denoted α ≤sw β) then β ≤T α. In fact, every random ...
Andrew E. M. Lewis, George Barmpalias
JCT
2008
79views more  JCT 2008»
13 years 7 months ago
Packing d-degenerate graphs
We study packings of graphs with given maximal degree. We shall prove that the (hitherto unproved) Bollob
Béla Bollobás, Alexandr V. Kostochka...
COCOON
2005
Springer
14 years 27 days ago
A Tight Analysis of the Maximal Matching Heuristic
We study the worst-case performance of the maximal matching heuristic applied to the Minimum Vertex Cover and Minimum Maximal Matching problems, through a careful analysis of tigh...
Jean Cardinal, Martine Labbé, Stefan Langer...