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DM
2008
63views more  DM 2008»
13 years 8 months ago
Nomadic decompositions of bidirected complete graphs
We use K n to denote the bidirected complete graph on n vertices. A nomadic Hamiltonian decomposition of K n is a Hamiltonian decomposition, with the additional property that &quo...
Daniel W. Cranston
CCCG
2010
13 years 10 months ago
A new algorithm and improved lower bound for point placement on a line in two rounds
In this paper we show how to construct in 2 rounds a line-rigid point placement graph of size 4n/3+O(1) from small graphs called 6:6 jewels, an extension of the 4:4 jewel of [3]. ...
Md. Shafiul Alam, Asish Mukhopadhyay
ARSCOM
1998
104views more  ARSCOM 1998»
13 years 8 months ago
A Note on the Road-Coloring Conjecture
Some results relating to the road-coloring conjecture of Alder, Goodwyn, and Weiss, which give rise to an O(n2) algorithm to determine whether or not a given edge-coloring of a gra...
E. Gocka, Walter W. Kirchherr, Edward F. Schmeiche...
IEEECIT
2009
IEEE
13 years 6 months ago
Hamiltonian Connectedness of Recursive Dual-Net
Recursive Dual-Net (RDN) was proposed recently as an effective, high-performance interconnection network for supercomputers with millions of nodes. A Recursive DualNet RDN(B) is r...
Yamin Li, Shietung Peng, Wanming Chu
ESA
1999
Springer
95views Algorithms» more  ESA 1999»
14 years 29 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