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» Bounding Degrees on RPL
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CCA
2009
Springer
15 years 5 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 11 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...
APPROX
2008
Springer
137views Algorithms» more  APPROX 2008»
15 years 1 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 11 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
DM
2008
177views more  DM 2008»
14 years 11 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...