Extremal Graphs with Respect to Matching Energy for Random Six-membered Ring Spiro Chains
Gutman and Wagner (in the matching energy of a graph, Disc. Appl. Math., 2012) defined the matching energy of a graph and pointed out that its chemical applications go back to the 1970s. Now the research on matching energy mainly focuses on graphs with pendent vertices and only a few papers reported...
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Veröffentlicht in: | Acta Mathematicae Applicatae Sinica 2019-04, Vol.35 (2), p.319-326 |
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description | Gutman and Wagner (in the matching energy of a graph, Disc. Appl. Math., 2012) defined the matching energy of a graph and pointed out that its chemical applications go back to the 1970s. Now the research on matching energy mainly focuses on graphs with pendent vertices and only a few papers reported the progress on matching energy of graphs without pendent vertices. For a random six-membered ring spiro chain, the number of
k
-matchings and the matching energy are random variables. In this paper, we determine the extremal graphs with respect to the matching energy for random six-membered ring spiro chains which have no pendent vertices. |
doi_str_mv | 10.1007/s10255-019-0820-z |
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k
-matchings and the matching energy are random variables. In this paper, we determine the extremal graphs with respect to the matching energy for random six-membered ring spiro chains which have no pendent vertices.</description><edition>English series</edition><identifier>ISSN: 0168-9673</identifier><identifier>EISSN: 1618-3932</identifier><identifier>DOI: 10.1007/s10255-019-0820-z</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Apexes ; Applications of Mathematics ; Chains ; Energy ; Graph matching ; Graphs ; Math Applications in Computer Science ; Mathematical and Computational Physics ; Mathematics ; Mathematics and Statistics ; Organic chemistry ; Random variables ; Theoretical</subject><ispartof>Acta Mathematicae Applicatae Sinica, 2019-04, Vol.35 (2), p.319-326</ispartof><rights>The Editorial Office of AMAS & Springer-Verlag GmbH Germany 2019 2019</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-a771ed705bdfbdbcccf3ffdc75270993403dc48168231877fb20cf4c4b6e93323</citedby><cites>FETCH-LOGICAL-c316t-a771ed705bdfbdbcccf3ffdc75270993403dc48168231877fb20cf4c4b6e93323</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10255-019-0820-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10255-019-0820-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Chen, Hua-mei</creatorcontrib><creatorcontrib>Liu, Yan</creatorcontrib><title>Extremal Graphs with Respect to Matching Energy for Random Six-membered Ring Spiro Chains</title><title>Acta Mathematicae Applicatae Sinica</title><addtitle>Acta Math. Appl. Sin. Engl. Ser</addtitle><description>Gutman and Wagner (in the matching energy of a graph, Disc. Appl. Math., 2012) defined the matching energy of a graph and pointed out that its chemical applications go back to the 1970s. Now the research on matching energy mainly focuses on graphs with pendent vertices and only a few papers reported the progress on matching energy of graphs without pendent vertices. For a random six-membered ring spiro chain, the number of
k
-matchings and the matching energy are random variables. In this paper, we determine the extremal graphs with respect to the matching energy for random six-membered ring spiro chains which have no pendent vertices.</description><subject>Apexes</subject><subject>Applications of Mathematics</subject><subject>Chains</subject><subject>Energy</subject><subject>Graph matching</subject><subject>Graphs</subject><subject>Math Applications in Computer Science</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Organic chemistry</subject><subject>Random variables</subject><subject>Theoretical</subject><issn>0168-9673</issn><issn>1618-3932</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kEFLwzAYhoMoOKc_wFvAc_RL0jbtUcacwkTY9OAppGmydqxNTTrc9uttqeDJ03d53vf9eBC6pXBPAcRDoMDimADNCKQMyOkMTWhCU8Izzs7RBGiSkiwR_BJdhbAFoIInYoI-54fOm1rt8MKrtgz4u-pKvDKhNbrDncOvqtNl1WzwvDF-c8TWebxSTeFqvK4OpDZ1brwp8Gpg1m3lHZ6VqmrCNbqwahfMze-doo-n-fvsmSzfFi-zxyXRnCYdUUJQUwiI88LmRa61ttzaQouYCcgyHgEvdJT27zNOUyFszkDbSEd5YjLOGZ-iu7G39e5rb0Int27vm35SMsZiNpTEPUVHSnsXgjdWtr6qlT9KCnIwKEeDsjcoB4Py1GfYmAk922yM_2v-P_QDlCVz-g</recordid><startdate>20190401</startdate><enddate>20190401</enddate><creator>Chen, Hua-mei</creator><creator>Liu, Yan</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20190401</creationdate><title>Extremal Graphs with Respect to Matching Energy for Random Six-membered Ring Spiro Chains</title><author>Chen, Hua-mei ; Liu, Yan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-a771ed705bdfbdbcccf3ffdc75270993403dc48168231877fb20cf4c4b6e93323</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Apexes</topic><topic>Applications of Mathematics</topic><topic>Chains</topic><topic>Energy</topic><topic>Graph matching</topic><topic>Graphs</topic><topic>Math Applications in Computer Science</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Organic chemistry</topic><topic>Random variables</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chen, Hua-mei</creatorcontrib><creatorcontrib>Liu, Yan</creatorcontrib><collection>CrossRef</collection><jtitle>Acta Mathematicae Applicatae Sinica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chen, Hua-mei</au><au>Liu, Yan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Extremal Graphs with Respect to Matching Energy for Random Six-membered Ring Spiro Chains</atitle><jtitle>Acta Mathematicae Applicatae Sinica</jtitle><stitle>Acta Math. Appl. Sin. Engl. Ser</stitle><date>2019-04-01</date><risdate>2019</risdate><volume>35</volume><issue>2</issue><spage>319</spage><epage>326</epage><pages>319-326</pages><issn>0168-9673</issn><eissn>1618-3932</eissn><abstract>Gutman and Wagner (in the matching energy of a graph, Disc. Appl. Math., 2012) defined the matching energy of a graph and pointed out that its chemical applications go back to the 1970s. Now the research on matching energy mainly focuses on graphs with pendent vertices and only a few papers reported the progress on matching energy of graphs without pendent vertices. For a random six-membered ring spiro chain, the number of
k
-matchings and the matching energy are random variables. In this paper, we determine the extremal graphs with respect to the matching energy for random six-membered ring spiro chains which have no pendent vertices.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s10255-019-0820-z</doi><tpages>8</tpages><edition>English series</edition></addata></record> |
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subjects | Apexes Applications of Mathematics Chains Energy Graph matching Graphs Math Applications in Computer Science Mathematical and Computational Physics Mathematics Mathematics and Statistics Organic chemistry Random variables Theoretical |
title | Extremal Graphs with Respect to Matching Energy for Random Six-membered Ring Spiro Chains |
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