Counting disjoint 2-partitions for points in the plane

F. H. Chang; J. Y. Guo; F. K. Hwang; J. S. Lee

doi:10.1016/j.dam.2007.05.012

Counting disjoint 2-partitions for points in the plane

F. H. Chang^*
, J. Y. Guo
, F. K. Hwang
, J. S. Lee

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Disjoint partitions, and its counting, have been widely studied in the literature of optimal partitions and clustering. We give an exact counting on the number of disjoint ordered 2-partitions for n points in general position in R². We also give an exact counting on the maximum number of disjoint 2-partitions, where one part consists of two points, over all sets of n points in R².

Original language	English
Pages (from-to)	2087-2092
Number of pages	6
Journal	Discrete Applied Mathematics
Volume	155
Issue number	16
DOIs	https://doi.org/10.1016/j.dam.2007.05.012
Publication status	Published - 2007 Oct 1
Externally published	Yes

Keywords

Counting
Disjoint
Optimal
Partition
Sortability

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1016/j.dam.2007.05.012

Cite this

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abstract = "Disjoint partitions, and its counting, have been widely studied in the literature of optimal partitions and clustering. We give an exact counting on the number of disjoint ordered 2-partitions for n points in general position in R2. We also give an exact counting on the maximum number of disjoint 2-partitions, where one part consists of two points, over all sets of n points in R2.",

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AU - Chang, F. H.

AU - Guo, J. Y.

AU - Hwang, F. K.

AU - Lee, J. S.

PY - 2007/10/1

Y1 - 2007/10/1

N2 - Disjoint partitions, and its counting, have been widely studied in the literature of optimal partitions and clustering. We give an exact counting on the number of disjoint ordered 2-partitions for n points in general position in R2. We also give an exact counting on the maximum number of disjoint 2-partitions, where one part consists of two points, over all sets of n points in R2.

AB - Disjoint partitions, and its counting, have been widely studied in the literature of optimal partitions and clustering. We give an exact counting on the number of disjoint ordered 2-partitions for n points in general position in R2. We also give an exact counting on the maximum number of disjoint 2-partitions, where one part consists of two points, over all sets of n points in R2.

KW - Counting

KW - Disjoint

KW - Optimal

KW - Partition

KW - Sortability

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UR - https://www.scopus.com/pages/publications/34547731870#tab=citedBy

U2 - 10.1016/j.dam.2007.05.012

DO - 10.1016/j.dam.2007.05.012

M3 - Article

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JO - Discrete Applied Mathematics

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IS - 16

ER -

Counting disjoint 2-partitions for points in the plane

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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