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82
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DM
2007
87views more  DM 2007»
15 years 20 days ago
Gaps in samples of geometric random variables
In this note we continue the study of gaps in samples of geometric random variables originated in Hitczenko and Knopfmacher [Gap-free compositions and gap-free samples of geometri...
William M. Y. Goh, Pawel Hitczenko
DM
2000
127views more  DM 2000»
15 years 16 days ago
Special formal series solutions of linear operator equations
The transformation which assigns to a linear operator L the recurrence satisfied by coefficient sequences of the polynomial series in its kernel, is shown to be an isomorphism of ...
Sergei A. Abramov, Marko Petkovsek, Anna A. Ryaben...
118
Voted
DM
1999
145views more  DM 1999»
15 years 11 days ago
Modular decomposition and transitive orientation
A module of an undirected graph is a set X of nodes such for each node x not in X , either every member of X is adjacent to x, or no member of X is adjacent to x. There is a canon...
Ross M. McConnell, Jeremy Spinrad
101
Voted
DM
1999
79views more  DM 1999»
15 years 11 days ago
A bijective proof of Riordan's theorem on powers of Fibonacci numbers
Let Fk(x) = n=0 Fk n xn . Using the interpretation of Fibonacci numbers in the terms of Morse codes, we give a bijective proof of Riordan's formula (1 - Lkx + (-1)k x2 )Fk(x...
Andrej Dujella
95
Voted
DM
2007
100views more  DM 2007»
15 years 20 days ago
Hamiltonian paths with prescribed edges in hypercubes
Given a set P of at most 2n − 4 prescribed edges (n ≥ 5) and vertices u and v whose mutual distance is odd, the n-dimensional hypercube Qn contains a hamiltonian path between ...
Tomás Dvorák, Petr Gregor