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Graphical Basis Partitions

✍ Scribed by Paul Erdo˝s; Tom Fowler


Book ID
106048005
Publisher
Springer Japan
Year
1998
Tongue
English
Weight
160 KB
Volume
14
Category
Article
ISSN
0911-0119

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On graphical partitions
✍ P. Erdős; L. B. Richmond 📂 Article 📅 1993 🏛 Springer-Verlag 🌐 English ⚖ 306 KB
Basis partitions
✍ Jennifer M. Nolan; Carla D. Savage; Herbert S. Wilf 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 263 KB

We study basis partitions, introduced by Hansraj Gupta in 1978. For this family of partitions, we give a recurrence, a generating function, identities relating basis partitions to more familiar families of partitions, and a new characterization of basis partitions.

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Given a positive even integer n, we show how to generate the set G(n) of graphical partitions of n, that is, those partitions of n which correspond to the degree sequences of simple, undirected graphs. The algorithm is based on a recurrence for G(n), and the total time used by the algorithm, indepen

On graphical partitions and planarity
✍ E.J. Farrell 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 630 KB

ChvBtal gave a necessary condition for a partition to have a planar realization. It is of interest to find: (i) partitions which satisfy the condition of the theorem but have no planar realization. and also (ii) partitions which satisfy the condition and have only p:!anar realizations. We give a lis

A Note on Graphical Partitions
✍ C.C. Rousseau; F. Ali 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 165 KB

We give a simple proof that the number of graphical partitions of an even positive integer \(n\) is at least \(p(n)-p(n-1) . \quad 1995\) Academic Press. Inc.