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» Bounding Degrees on RPL
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82
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CCA
2009
Springer
15 years 4 months ago
Weihrauch Degrees, Omniscience Principles and Weak Computability
Abstract. In this paper we study a reducibility that has been introduced by Klaus Weihrauch or, more precisely, a natural extension of this reducibility for multi-valued functions ...
Vasco Brattka, Guido Gherardi
JSYML
2008
108views more  JSYML 2008»
14 years 9 months ago
Randomness, lowness and degrees
We say that A LR B if every B-random number is A-random. Intuitively this means that if oracle A can identify some patterns on some real , oracle B can also find patterns on . In o...
George Barmpalias, Andrew E. M. Lewis, Mariya Ivan...
76
Voted
APPROX
2008
Springer
137views Algorithms» more  APPROX 2008»
14 years 11 months ago
Approximating Directed Weighted-Degree Constrained Networks
Given a graph H = (V, F) with edge weights {w(e) : e F}, the weighted degree of a node v in H is {w(vu) : vu F}. We give bicriteria approximation algorithms for problems that see...
Zeev Nutov
JCT
2008
70views more  JCT 2008»
14 years 9 months ago
Connectivity keeping edges in graphs with large minimum degree
The old well-known result of Chartrand, Kaugars and Lick [1] says that every k-connected graph G with minimum degree at least 3k/2 has a vertex v such that G - v is still k-connec...
Shinya Fujita, Ken-ichi Kawarabayashi
85
Voted
DM
2008
177views more  DM 2008»
14 years 9 months ago
The independence number in graphs of maximum degree three
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...