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FSTTCS
2001
Springer
15 years 7 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
15 years 8 months 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»
15 years 2 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»
15 years 2 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
15 years 8 months 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...