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» On the Number of Graphical Forest Partitions
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ARSCOM
2002
70views more  ARSCOM 2002»
13 years 4 months ago
On the Number of Graphical Forest Partitions
A graphical partition of the even integer n is a partition of n where each part of the partition is the degree of a vertex in a simple graph and the degree sum of the graph is n. ...
Deborah A. Frank, Carla D. Savage, James A. Seller...
COMBINATORICS
2000
92views more  COMBINATORICS 2000»
13 years 4 months ago
Asymptotics for the Probability of Connectedness and the Distribution of Number of Components
Let n be the fraction of structures of size" n which are connected"; e.g., a the fraction of labeled or unlabeled n-vertex graphshavingone component, b the fraction of p...
Jason P. Bell, Edward A. Bender, Peter J. Cameron,...
COMBINATORICS
2004
97views more  COMBINATORICS 2004»
13 years 4 months ago
Dominance Order and Graphical Partitions
We gave a new criterion for graphical partitions. We derive a new recursion formula, which allows the computation of the number g(n) of graphical partitions of weight n for up to ...
Axel Kohnert
CIAC
2010
Springer
258views Algorithms» more  CIAC 2010»
14 years 1 months ago
A Planar Linear Arboricity Conjecture
The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. In 1984, Akiyama et al. [1] stated the Linear Arboricity Conjecture...
Marek Cygan, Lukasz Kowalik, Borut Luzar
IPL
2006
109views more  IPL 2006»
13 years 4 months ago
The number of guillotine partitions in d dimensions
Guillotine partitions play an important role in many research areas and application domains, e.g., computational geometry, computer graphics, integrated circuit layout, and solid ...
Eyal Ackerman, Gill Barequet, Ron Y. Pinter, Dan R...