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ESA
1999
Springer
95views Algorithms» more  ESA 1999»
14 years 28 days ago
A Fast General Methodology for Information - Theoretically Optimal Encodings of Graphs
We propose a fast methodology for encoding graphs with information-theoretically minimum numbers of bits. Specifically, a graph with property π is called a π-graph. If π satis...
Xin He, Ming-Yang Kao, Hsueh-I Lu
RSA
2008
123views more  RSA 2008»
13 years 8 months ago
Generating unlabeled connected cubic planar graphs uniformly at random
We present an expected polynomial time algorithm to generate an unlabeled connected cubic planar graph uniformly at random. We first consider rooted connected cubic planar graphs, ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
IPL
2008
82views more  IPL 2008»
13 years 8 months ago
On fully orientability of 2-degenerate graphs
Suppose that D is an acyclic orientation of the graph G. An arc of D is dependent if its reversal creates a directed cycle. Let d(D) denote the number of dependent arcs in D. Defi...
Hsin-Hao Lai, Gerard J. Chang, Ko-Wei Lih
STOC
2003
ACM
188views Algorithms» more  STOC 2003»
14 years 9 months ago
Almost random graphs with simple hash functions
We describe a simple randomized construction for generating pairs of hash functions h1, h2 from a universe U to ranges V = [m] = {0, 1, . . . , m - 1} and W = [m] so that for ever...
Martin Dietzfelbinger, Philipp Woelfel
EJC
2007
13 years 8 months ago
Online balanced graph avoidance games
We introduce and study online balanced coloring games on the random graph process. The game is played by a player we call Painter. Edges of the complete graph with n vertices are ...
Martin Marciniszyn, Dieter Mitsche, Milos Stojakov...