An Improved Simulated Annealing Algorithm for the Maximum Independent Set Problem
The maximum independent set problem is a classic graph optimization problem. It is well known that it is an NP-Complete problem. In this paper, an improved simulated annealing algorithm is presented for the maximum independent set problem. In this algorithm, an acceptance function is defined for eve...
Gespeichert in:
Hauptverfasser: | , , |
---|---|
Format: | Tagungsbericht |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 831 |
---|---|
container_issue | |
container_start_page | 822 |
container_title | |
container_volume | |
creator | Xu, Xinshun Ma, Jun Wang, Hua |
description | The maximum independent set problem is a classic graph optimization problem. It is well known that it is an NP-Complete problem. In this paper, an improved simulated annealing algorithm is presented for the maximum independent set problem. In this algorithm, an acceptance function is defined for every vertex. This can help the algorithm find a near optimal solution to a problem. Simulations are performed on benchmark graphs and random graphs. The simulation results show that the proposed algorithm provides a high probability of finding optimal solutions. |
doi_str_mv | 10.1007/11816157_99 |
format | Conference Proceeding |
fullrecord | <record><control><sourceid>pascalfrancis_sprin</sourceid><recordid>TN_cdi_pascalfrancis_primary_19686090</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>19686090</sourcerecordid><originalsourceid>FETCH-LOGICAL-p1349-c434cd0e63a9ffe0218f5dc3a9484fa350a93edfa04d7d6c3ad7f193b4b54f623</originalsourceid><addsrcrecordid>eNpNkMtOwzAQRc1Loi1d8QPesGARGGecOF5GVYFKRYAK68iJ7TaQOJETEPw9RgWJzbzO1dXoEnLO4IoBiGvGMpayRBRSHpApJhxQxALxkEzCnUWIXB6RuRTZH2P8mEwAIY6k4HhKpsPwCgCxkPGEPOWOrtredx9G003dvjdqDFPunFFN7bY0b7adr8ddS23n6bgz9F59Bl1LV06b3oTiRroxI330XdmY9oycWNUMZv7bZ-TlZvm8uIvWD7erRb6OehZejCqOvNJgUlTSWgMxy2yiq7DxjFuFCSiJRlsFXAudBqCFZRJLXibcpjHOyMXet1dDpRrrlavqoeh93Sr_VTCZZilICLrLvW4IyG2NL8quexsKBsVPoMW_QPEbGBpjEg</addsrcrecordid><sourcetype>Index Database</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype></control><display><type>conference_proceeding</type><title>An Improved Simulated Annealing Algorithm for the Maximum Independent Set Problem</title><source>Springer Books</source><creator>Xu, Xinshun ; Ma, Jun ; Wang, Hua</creator><contributor>Li, Kang ; Huang, De-Shuang ; Irwin, George William</contributor><creatorcontrib>Xu, Xinshun ; Ma, Jun ; Wang, Hua ; Li, Kang ; Huang, De-Shuang ; Irwin, George William</creatorcontrib><description>The maximum independent set problem is a classic graph optimization problem. It is well known that it is an NP-Complete problem. In this paper, an improved simulated annealing algorithm is presented for the maximum independent set problem. In this algorithm, an acceptance function is defined for every vertex. This can help the algorithm find a near optimal solution to a problem. Simulations are performed on benchmark graphs and random graphs. The simulation results show that the proposed algorithm provides a high probability of finding optimal solutions.</description><identifier>ISSN: 0302-9743</identifier><identifier>ISBN: 9783540372714</identifier><identifier>ISBN: 3540372717</identifier><identifier>EISSN: 1611-3349</identifier><identifier>EISBN: 3540372733</identifier><identifier>EISBN: 9783540372738</identifier><identifier>DOI: 10.1007/11816157_99</identifier><language>eng</language><publisher>Berlin, Heidelberg: Springer Berlin Heidelberg</publisher><subject>Acceptance Function ; Applied sciences ; Artificial intelligence ; Circle Graph ; Computer science; control theory; systems ; Exact sciences and technology ; Maximum Clique ; Random Graph ; Simulated Annealing Algorithm</subject><ispartof>Intelligent Computing, 2006, p.822-831</ispartof><rights>Springer-Verlag Berlin Heidelberg 2006</rights><rights>2007 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/11816157_99$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/11816157_99$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>309,310,779,780,784,789,790,793,4048,4049,27924,38254,41441,42510</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=19686090$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><contributor>Li, Kang</contributor><contributor>Huang, De-Shuang</contributor><contributor>Irwin, George William</contributor><creatorcontrib>Xu, Xinshun</creatorcontrib><creatorcontrib>Ma, Jun</creatorcontrib><creatorcontrib>Wang, Hua</creatorcontrib><title>An Improved Simulated Annealing Algorithm for the Maximum Independent Set Problem</title><title>Intelligent Computing</title><description>The maximum independent set problem is a classic graph optimization problem. It is well known that it is an NP-Complete problem. In this paper, an improved simulated annealing algorithm is presented for the maximum independent set problem. In this algorithm, an acceptance function is defined for every vertex. This can help the algorithm find a near optimal solution to a problem. Simulations are performed on benchmark graphs and random graphs. The simulation results show that the proposed algorithm provides a high probability of finding optimal solutions.</description><subject>Acceptance Function</subject><subject>Applied sciences</subject><subject>Artificial intelligence</subject><subject>Circle Graph</subject><subject>Computer science; control theory; systems</subject><subject>Exact sciences and technology</subject><subject>Maximum Clique</subject><subject>Random Graph</subject><subject>Simulated Annealing Algorithm</subject><issn>0302-9743</issn><issn>1611-3349</issn><isbn>9783540372714</isbn><isbn>3540372717</isbn><isbn>3540372733</isbn><isbn>9783540372738</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2006</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNpNkMtOwzAQRc1Loi1d8QPesGARGGecOF5GVYFKRYAK68iJ7TaQOJETEPw9RgWJzbzO1dXoEnLO4IoBiGvGMpayRBRSHpApJhxQxALxkEzCnUWIXB6RuRTZH2P8mEwAIY6k4HhKpsPwCgCxkPGEPOWOrtredx9G003dvjdqDFPunFFN7bY0b7adr8ddS23n6bgz9F59Bl1LV06b3oTiRroxI330XdmY9oycWNUMZv7bZ-TlZvm8uIvWD7erRb6OehZejCqOvNJgUlTSWgMxy2yiq7DxjFuFCSiJRlsFXAudBqCFZRJLXibcpjHOyMXet1dDpRrrlavqoeh93Sr_VTCZZilICLrLvW4IyG2NL8quexsKBsVPoMW_QPEbGBpjEg</recordid><startdate>2006</startdate><enddate>2006</enddate><creator>Xu, Xinshun</creator><creator>Ma, Jun</creator><creator>Wang, Hua</creator><general>Springer Berlin Heidelberg</general><general>Springer</general><scope>IQODW</scope></search><sort><creationdate>2006</creationdate><title>An Improved Simulated Annealing Algorithm for the Maximum Independent Set Problem</title><author>Xu, Xinshun ; Ma, Jun ; Wang, Hua</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p1349-c434cd0e63a9ffe0218f5dc3a9484fa350a93edfa04d7d6c3ad7f193b4b54f623</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Acceptance Function</topic><topic>Applied sciences</topic><topic>Artificial intelligence</topic><topic>Circle Graph</topic><topic>Computer science; control theory; systems</topic><topic>Exact sciences and technology</topic><topic>Maximum Clique</topic><topic>Random Graph</topic><topic>Simulated Annealing Algorithm</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xu, Xinshun</creatorcontrib><creatorcontrib>Ma, Jun</creatorcontrib><creatorcontrib>Wang, Hua</creatorcontrib><collection>Pascal-Francis</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Xu, Xinshun</au><au>Ma, Jun</au><au>Wang, Hua</au><au>Li, Kang</au><au>Huang, De-Shuang</au><au>Irwin, George William</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>An Improved Simulated Annealing Algorithm for the Maximum Independent Set Problem</atitle><btitle>Intelligent Computing</btitle><date>2006</date><risdate>2006</risdate><spage>822</spage><epage>831</epage><pages>822-831</pages><issn>0302-9743</issn><eissn>1611-3349</eissn><isbn>9783540372714</isbn><isbn>3540372717</isbn><eisbn>3540372733</eisbn><eisbn>9783540372738</eisbn><abstract>The maximum independent set problem is a classic graph optimization problem. It is well known that it is an NP-Complete problem. In this paper, an improved simulated annealing algorithm is presented for the maximum independent set problem. In this algorithm, an acceptance function is defined for every vertex. This can help the algorithm find a near optimal solution to a problem. Simulations are performed on benchmark graphs and random graphs. The simulation results show that the proposed algorithm provides a high probability of finding optimal solutions.</abstract><cop>Berlin, Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/11816157_99</doi><tpages>10</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0302-9743 |
ispartof | Intelligent Computing, 2006, p.822-831 |
issn | 0302-9743 1611-3349 |
language | eng |
recordid | cdi_pascalfrancis_primary_19686090 |
source | Springer Books |
subjects | Acceptance Function Applied sciences Artificial intelligence Circle Graph Computer science control theory systems Exact sciences and technology Maximum Clique Random Graph Simulated Annealing Algorithm |
title | An Improved Simulated Annealing Algorithm for the Maximum Independent Set Problem |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-12T00%3A06%3A45IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-pascalfrancis_sprin&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=An%20Improved%20Simulated%20Annealing%20Algorithm%20for%20the%20Maximum%20Independent%20Set%20Problem&rft.btitle=Intelligent%20Computing&rft.au=Xu,%20Xinshun&rft.date=2006&rft.spage=822&rft.epage=831&rft.pages=822-831&rft.issn=0302-9743&rft.eissn=1611-3349&rft.isbn=9783540372714&rft.isbn_list=3540372717&rft_id=info:doi/10.1007/11816157_99&rft_dat=%3Cpascalfrancis_sprin%3E19686090%3C/pascalfrancis_sprin%3E%3Curl%3E%3C/url%3E&rft.eisbn=3540372733&rft.eisbn_list=9783540372738&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |