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CORR
2010
Springer
59views Education» more  CORR 2010»
14 years 9 months ago
Parallel Chip Firing Game associated with n-cube orientations
We study the cycles generated by the chip firing game associated with n-cube orientations. We show the existence of the cycles generated by parallel evolutions of even lengths fro...
René Ndoundam, Maurice Tchuente, Claude Tad...
EJC
2011
14 years 1 months ago
Two enumerative results on cycles of permutations
Answering a question of B´ona, it is shown that for n ≥ 2 the probability that 1 and 2 are in the same cycle of a product of two n-cycles on the set {1, 2, . . . , n} is 1/2 if...
Richard P. Stanley
ICASSP
2008
IEEE
15 years 4 months ago
Structure of non-binary regular ldpc cycle codes
In this paper, we study non-binary regular LDPC cycle codes whose parity check matrix has fixed column weight 2 and fixed row weight d. We prove that the parity check matrix of ...
Jie Huang, Shengli Zhou, Peter Willett
101
Voted
JCT
2010
158views more  JCT 2010»
14 years 8 months ago
An asymptotic solution to the cycle decomposition problem for complete graphs
Let m1, m2, . . . , mt be a list of integers. It is shown that there exists an integer N such that for all n ≥ N, the complete graph of order n can be decomposed into edge-disjo...
Darryn E. Bryant, Daniel Horsley
76
Voted
COMBINATORICS
1999
73views more  COMBINATORICS 1999»
14 years 9 months ago
A [k, k+1]-Factor Containing A Given Hamiltonian Cycle
We prove the following best possible result. Let k 2 be an integer and G be a graph of order n with minimum degree at least k. Assume n 8k - 16 for even n and n 6k-13 for odd n...
Mao-cheng Cai, Yanjun Li, Mikio Kano