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COMBINATORICS
2007
68views more  COMBINATORICS 2007»
15 years 6 months ago
Compositions of Graphs Revisited
The idea of graph compositions, which was introduced by A. Knopfmacher and M. E. Mays, generalizes both ordinary compositions of positive integers and partitions of finite sets. ...
Aminul Huq
ITA
2008
147views Communications» more  ITA 2008»
15 years 6 months ago
A morphic approach to combinatorial games: the Tribonacci case
We propose a variation of Wythoff's game on three piles of tokens, in the sense that the losing positions can be derived from the Tribonacci word instead of the Fibonacci word...
Éric Duchêne, Michel Rigo
JSC
2008
55views more  JSC 2008»
15 years 6 months ago
Algorithms for a class of infinite permutation groups
Motivated by the famous 3n + 1 conjecture, we call a mapping from Z to Z residue-class-wise affine if there is a positive integer m such that it is affine on residue classes (mod m...
Stefan Kohl
MP
2008
82views more  MP 2008»
15 years 6 months ago
Newton's iterates can converge to non-stationary points
Abstract In this note we discuss the convergence of Newton's method for minimization. We present examples in which the Newton iterates satisfy the Wolfe conditions and the Hes...
Walter F. Mascarenhas
PE
2008
Springer
103views Optimization» more  PE 2008»
15 years 6 months ago
Heavy-tailed asymptotics for a fluid model driven by an M/G/1 queue
In this paper, an infinite-buffer fluid queue driven by an M/G/1 queue is discussed. The Laplace transform of the distribution of the stationary buffer content is expressed throug...
Quan-Lin Li, Liming Liu, Weixin Shang