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DM
2010
143views more  DM 2010»
14 years 11 months ago
Acyclic improper colourings of graphs with bounded maximum degree
For graphs of bounded maximum degree, we consider acyclic t-improper colourings, that is, colourings in which each bipartite subgraph consisting of the edges between two colour cl...
Louigi Addario-Berry, Louis Esperet, Ross J. Kang,...
JCT
2008
83views more  JCT 2008»
14 years 11 months ago
Bounds on degrees of p-adic separating polynomials
We study a discrete optimization problem introduced by Babai, Frankl, Kutin, and Stefankovic (2001), which provides bounds on degrees of polynomials with p-adically controlled beh...
Daniel J. Katz, Joshua Zahl
ESA
1994
Springer
138views Algorithms» more  ESA 1994»
15 years 3 months ago
Efficient Construction of a Bounded Degree Spanner with Low Weight
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a graph having the points of S as its vertices such that for any pair p, q of points ther...
Sunil Arya, Michiel H. M. Smid
MFCS
1995
Springer
15 years 2 months ago
Graph Inference from a Walk for TRees of Bounded Degree 3 is NP-Complete
The graph inference from a walk for a class C of undirected edge-colored graphs is, given a string x of colors, nding the smallest graph G in C that allows a traverse of all edge...
Osamu Maruyama, Satoru Miyano
CIE
2005
Springer
15 years 4 months ago
On the Turing Degrees of Divergence Bounded Computable Reals
The d-c.e. (difference of c.e.) and dbc (divergence bounded computable) reals are two important subclasses of ∆0 2-reals which have very interesting computability-theoretical as...
Robert Rettinger, Xizhong Zheng