Counting endpoint sequences for interval orders and interval graphs

Alexander Belfer; Martin C. Golumbic

doi:10.1016/0012-365X(93)90353-U

Counting endpoint sequences for interval orders and interval graphs

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

Abstract

In this paper we design and analyze efficient algorithms for counting the number of endpoint sequences representing a given interval graph or interval order. The results are based on the construction of a suitable tree data structure to represent multiple solutions. We describe the relation of our methods to PQ-trees and MPQ-trees. Finally, we discuss the connection of these structures with temporary reasoning.

Original language	English
Pages (from-to)	23-39
Number of pages	17
Journal	Discrete Mathematics
Volume	114
Issue number	1-3
DOIs	https://doi.org/10.1016/0012-365X(93)90353-U
State	Published - 28 Apr 1993
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/0012-365X(93)90353-U

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title = "Counting endpoint sequences for interval orders and interval graphs",

abstract = "In this paper we design and analyze efficient algorithms for counting the number of endpoint sequences representing a given interval graph or interval order. The results are based on the construction of a suitable tree data structure to represent multiple solutions. We describe the relation of our methods to PQ-trees and MPQ-trees. Finally, we discuss the connection of these structures with temporary reasoning.",

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AB - In this paper we design and analyze efficient algorithms for counting the number of endpoint sequences representing a given interval graph or interval order. The results are based on the construction of a suitable tree data structure to represent multiple solutions. We describe the relation of our methods to PQ-trees and MPQ-trees. Finally, we discuss the connection of these structures with temporary reasoning.

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DO - 10.1016/0012-365X(93)90353-U

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JO - Discrete Mathematics

JF - Discrete Mathematics

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ER -

Counting endpoint sequences for interval orders and interval graphs

Abstract

ASJC Scopus subject areas

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