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COMBINATORICS
2006
132views more  COMBINATORICS 2006»
13 years 7 months ago
On Computing the Distinguishing Numbers of Trees and Forests
Let G be a graph. A vertex labeling of G is distinguishing if the only label-preserving automorphism of G is the identity map. The distinguishing number of G, D(G), is the minimum...
Christine T. Cheng
COCOON
2008
Springer
13 years 9 months ago
Dimensions of Points in Self-similar Fractals
We use nontrivial connections between the theory of computing and the finescale geometry of Euclidean space to give a complete analysis of the dimensions of individual points in f...
Jack H. Lutz, Elvira Mayordomo
DMTCS
2003
89views Mathematics» more  DMTCS 2003»
13 years 8 months ago
On the Monotonic Computability of Semi-computable Real Numbers
Let h : N → Q be a computable function. A real number x is h-monotonically computable (h-mc, for short) if there is a computable sequence (xs) of rational numbers which converges...
Xizhong Zheng, George Barmpalias
CCCG
2010
13 years 9 months ago
Computing the straight skeleton of a monotone polygon in O(n log n) time
The straight skeleton of a simple polygon is defined as the trace of the vertices when the initial polygon is shrunken in self-parallel manner [2]. In this paper, we propose a sim...
Gautam K. Das, Asish Mukhopadhyay, Subhas C. Nandy...