ATOM BOND-CONNECTIVITY ENERGY OF A GRAPH
The purpose of this paper is to introduce and investigate the atom bond-connectivity energy ABCE(G) of a graph G. We present some upper and lower bounds for ABCE(G) and calculate it for several graph classes and also for some graphs with one edge deleted which enables us to calculate this index for...
Gespeichert in:
| Veröffentlicht in: | TWMS journal of applied and engineering mathematics 2024-09, Vol.14 (4), p.1689 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 4 |
| container_start_page | 1689 |
| container_title | TWMS journal of applied and engineering mathematics |
| container_volume | 14 |
| creator | Prakasha, K.N Reddy, P.S.K Cangul, I.N Purushotham, S |
| description | The purpose of this paper is to introduce and investigate the atom bond-connectivity energy ABCE(G) of a graph G. We present some upper and lower bounds for ABCE(G) and calculate it for several graph classes and also for some graphs with one edge deleted which enables us to calculate this index for larger graphs by means of smaller graphs. Also ABCE(G) is calculated for some complements of several graphs.. Keywords: Atom bond-connectivity matrix, atom bond-connectivity energy, atom bond-connectivity characteristic polynomial, k-complement, k(i)-complement. AMS Subject Classification: 05C50 |
| format | Article |
| fullrecord | <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_3126886204</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A813142288</galeid><sourcerecordid>A813142288</sourcerecordid><originalsourceid>FETCH-LOGICAL-g180t-2527531c27c6e885d8812eab1ab5045c8cfab988bf2ae8c2e3bc140f17cad28a3</originalsourceid><addsrcrecordid>eNptjUFLw0AQhRdRsNT-h4AXL5Gd2c1mPMaYtoGaSIlCT2Gz2S0pbaJJ-v8NKNiDM4f3eHzz5orNEKTyAWR4feFv2WIYDnwaUirkYsYeoiJ_9Z7z7MWP8yxL4iL9SIudl2TJdrXz8qUXeatt9La-YzdOHwe7-NU5e18mRbz2N_kqjaONvwfio48BhoEAg6FRliioiQCtrkBXAZeBIeN09URUOdSWDFpRGZDcQWh0jaTFnN3_9H723dfZDmN56M59O70sBaAiUsjlH7XXR1s2revGXptTM5gyIhAgEYkm6vEfatranhrTtdY1U35x8A2LZFUn</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>3126886204</pqid></control><display><type>article</type><title>ATOM BOND-CONNECTIVITY ENERGY OF A GRAPH</title><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><creator>Prakasha, K.N ; Reddy, P.S.K ; Cangul, I.N ; Purushotham, S</creator><creatorcontrib>Prakasha, K.N ; Reddy, P.S.K ; Cangul, I.N ; Purushotham, S</creatorcontrib><description>The purpose of this paper is to introduce and investigate the atom bond-connectivity energy ABCE(G) of a graph G. We present some upper and lower bounds for ABCE(G) and calculate it for several graph classes and also for some graphs with one edge deleted which enables us to calculate this index for larger graphs by means of smaller graphs. Also ABCE(G) is calculated for some complements of several graphs.. Keywords: Atom bond-connectivity matrix, atom bond-connectivity energy, atom bond-connectivity characteristic polynomial, k-complement, k(i)-complement. AMS Subject Classification: 05C50</description><identifier>ISSN: 2146-1147</identifier><identifier>EISSN: 2146-1147</identifier><language>eng</language><publisher>Istanbul: Turkic World Mathematical Society</publisher><subject>Analysis ; Atomic structure ; Chemical bonds ; Connectivity ; Eigenvalues ; Electronic structure ; Energy ; Graph theory ; Graphs ; Lower bounds ; Mathematics ; Maxima and minima</subject><ispartof>TWMS journal of applied and engineering mathematics, 2024-09, Vol.14 (4), p.1689</ispartof><rights>COPYRIGHT 2024 Turkic World Mathematical Society</rights><rights>2024. This work is licensed under http://creativecommons.org/licenses/by-nc/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,778,782</link.rule.ids></links><search><creatorcontrib>Prakasha, K.N</creatorcontrib><creatorcontrib>Reddy, P.S.K</creatorcontrib><creatorcontrib>Cangul, I.N</creatorcontrib><creatorcontrib>Purushotham, S</creatorcontrib><title>ATOM BOND-CONNECTIVITY ENERGY OF A GRAPH</title><title>TWMS journal of applied and engineering mathematics</title><description>The purpose of this paper is to introduce and investigate the atom bond-connectivity energy ABCE(G) of a graph G. We present some upper and lower bounds for ABCE(G) and calculate it for several graph classes and also for some graphs with one edge deleted which enables us to calculate this index for larger graphs by means of smaller graphs. Also ABCE(G) is calculated for some complements of several graphs.. Keywords: Atom bond-connectivity matrix, atom bond-connectivity energy, atom bond-connectivity characteristic polynomial, k-complement, k(i)-complement. AMS Subject Classification: 05C50</description><subject>Analysis</subject><subject>Atomic structure</subject><subject>Chemical bonds</subject><subject>Connectivity</subject><subject>Eigenvalues</subject><subject>Electronic structure</subject><subject>Energy</subject><subject>Graph theory</subject><subject>Graphs</subject><subject>Lower bounds</subject><subject>Mathematics</subject><subject>Maxima and minima</subject><issn>2146-1147</issn><issn>2146-1147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNptjUFLw0AQhRdRsNT-h4AXL5Gd2c1mPMaYtoGaSIlCT2Gz2S0pbaJJ-v8NKNiDM4f3eHzz5orNEKTyAWR4feFv2WIYDnwaUirkYsYeoiJ_9Z7z7MWP8yxL4iL9SIudl2TJdrXz8qUXeatt9La-YzdOHwe7-NU5e18mRbz2N_kqjaONvwfio48BhoEAg6FRliioiQCtrkBXAZeBIeN09URUOdSWDFpRGZDcQWh0jaTFnN3_9H723dfZDmN56M59O70sBaAiUsjlH7XXR1s2revGXptTM5gyIhAgEYkm6vEfatranhrTtdY1U35x8A2LZFUn</recordid><startdate>20240901</startdate><enddate>20240901</enddate><creator>Prakasha, K.N</creator><creator>Reddy, P.S.K</creator><creator>Cangul, I.N</creator><creator>Purushotham, S</creator><general>Turkic World Mathematical Society</general><general>Elman Hasanoglu</general><scope>3V.</scope><scope>7TB</scope><scope>7XB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>EDSIH</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>KR7</scope><scope>L6V</scope><scope>M2O</scope><scope>M7S</scope><scope>MBDVC</scope><scope>PADUT</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20240901</creationdate><title>ATOM BOND-CONNECTIVITY ENERGY OF A GRAPH</title><author>Prakasha, K.N ; Reddy, P.S.K ; Cangul, I.N ; Purushotham, S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-g180t-2527531c27c6e885d8812eab1ab5045c8cfab988bf2ae8c2e3bc140f17cad28a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Analysis</topic><topic>Atomic structure</topic><topic>Chemical bonds</topic><topic>Connectivity</topic><topic>Eigenvalues</topic><topic>Electronic structure</topic><topic>Energy</topic><topic>Graph theory</topic><topic>Graphs</topic><topic>Lower bounds</topic><topic>Mathematics</topic><topic>Maxima and minima</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Prakasha, K.N</creatorcontrib><creatorcontrib>Reddy, P.S.K</creatorcontrib><creatorcontrib>Cangul, I.N</creatorcontrib><creatorcontrib>Purushotham, S</creatorcontrib><collection>ProQuest Central (Corporate)</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Turkey Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Research Library</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Research Library China</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>TWMS journal of applied and engineering mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Prakasha, K.N</au><au>Reddy, P.S.K</au><au>Cangul, I.N</au><au>Purushotham, S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>ATOM BOND-CONNECTIVITY ENERGY OF A GRAPH</atitle><jtitle>TWMS journal of applied and engineering mathematics</jtitle><date>2024-09-01</date><risdate>2024</risdate><volume>14</volume><issue>4</issue><spage>1689</spage><pages>1689-</pages><issn>2146-1147</issn><eissn>2146-1147</eissn><abstract>The purpose of this paper is to introduce and investigate the atom bond-connectivity energy ABCE(G) of a graph G. We present some upper and lower bounds for ABCE(G) and calculate it for several graph classes and also for some graphs with one edge deleted which enables us to calculate this index for larger graphs by means of smaller graphs. Also ABCE(G) is calculated for some complements of several graphs.. Keywords: Atom bond-connectivity matrix, atom bond-connectivity energy, atom bond-connectivity characteristic polynomial, k-complement, k(i)-complement. AMS Subject Classification: 05C50</abstract><cop>Istanbul</cop><pub>Turkic World Mathematical Society</pub><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2146-1147 |
| ispartof | TWMS journal of applied and engineering mathematics, 2024-09, Vol.14 (4), p.1689 |
| issn | 2146-1147 2146-1147 |
| language | eng |
| recordid | cdi_proquest_journals_3126886204 |
| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Analysis Atomic structure Chemical bonds Connectivity Eigenvalues Electronic structure Energy Graph theory Graphs Lower bounds Mathematics Maxima and minima |
| title | ATOM BOND-CONNECTIVITY ENERGY OF A GRAPH |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-15T14%3A04%3A02IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=ATOM%20BOND-CONNECTIVITY%20ENERGY%20OF%20A%20GRAPH&rft.jtitle=TWMS%20journal%20of%20applied%20and%20engineering%20mathematics&rft.au=Prakasha,%20K.N&rft.date=2024-09-01&rft.volume=14&rft.issue=4&rft.spage=1689&rft.pages=1689-&rft.issn=2146-1147&rft.eissn=2146-1147&rft_id=info:doi/&rft_dat=%3Cgale_proqu%3EA813142288%3C/gale_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=3126886204&rft_id=info:pmid/&rft_galeid=A813142288&rfr_iscdi=true |