A Generalized Implicit Enumeration Algorithm for Graph Coloring.
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| Title: | A Generalized Implicit Enumeration Algorithm for Graph Coloring. |
|---|---|
| Authors: | Horowitz, Ellis, Kubale, Marek1, Jackowski, Boguslaw2 |
| Source: | Communications of the ACM. Apr1985, Vol. 28 Issue 4, p412-418. 7p. 1 Chart, 2 Graphs. |
| Subjects: | Algorithms, Graph coloring, Graph theory, Backtrack programming, Computer programming, Sequential analysis |
| Abstract: | A generalized algorithm for graph coloring by implicit enumeration is formulated. A number of backtracking sequential methods are discussed in terms of the generalized algorithm. Some are revealed to be partially correct and inexact. A few corrections to the invalid algorithms, which cause these algorithms to guarantee optimal solutions, are proposed. Finally, some computational results and remarks on the practical relevance of improved implicit enumeration algorithms are given. [ABSTRACT FROM AUTHOR] |
| Copyright of Communications of the ACM is the property of Association for Computing Machinery and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 5225498 AccessLevel: 6 PubType: Periodical PubTypeId: serialPeriodical PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A Generalized Implicit Enumeration Algorithm for Graph Coloring. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Horowitz%2C+Ellis%22">Horowitz, Ellis</searchLink><br /><searchLink fieldCode="AR" term="%22Kubale%2C+Marek%22">Kubale, Marek</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Jackowski%2C+Boguslaw%22">Jackowski, Boguslaw</searchLink><relatesTo>2</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Communications+of+the+ACM%22">Communications of the ACM</searchLink>. Apr1985, Vol. 28 Issue 4, p412-418. 7p. 1 Chart, 2 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Graph+coloring%22">Graph coloring</searchLink><br /><searchLink fieldCode="DE" term="%22Graph+theory%22">Graph theory</searchLink><br /><searchLink fieldCode="DE" term="%22Backtrack+programming%22">Backtrack programming</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+programming%22">Computer programming</searchLink><br /><searchLink fieldCode="DE" term="%22Sequential+analysis%22">Sequential analysis</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A generalized algorithm for graph coloring by implicit enumeration is formulated. A number of backtracking sequential methods are discussed in terms of the generalized algorithm. Some are revealed to be partially correct and inexact. A few corrections to the invalid algorithms, which cause these algorithms to guarantee optimal solutions, are proposed. Finally, some computational results and remarks on the practical relevance of improved implicit enumeration algorithms are given. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Communications of the ACM is the property of Association for Computing Machinery and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 412 Subjects: – SubjectFull: Algorithms Type: general – SubjectFull: Graph coloring Type: general – SubjectFull: Graph theory Type: general – SubjectFull: Backtrack programming Type: general – SubjectFull: Computer programming Type: general – SubjectFull: Sequential analysis Type: general Titles: – TitleFull: A Generalized Implicit Enumeration Algorithm for Graph Coloring. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Horowitz, Ellis – PersonEntity: Name: NameFull: Kubale, Marek – PersonEntity: Name: NameFull: Jackowski, Boguslaw IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr1985 Type: published Y: 1985 Identifiers: – Type: issn-print Value: 00010782 Numbering: – Type: volume Value: 28 – Type: issue Value: 4 Titles: – TitleFull: Communications of the ACM Type: main |
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