The Entropy of Weighted Graphs with Atomic Bond Connectivity Edge Weights
The aim of this report to solve the open problem suggested by Chen et al. We study the graph entropy with ABC edge weights and present bounds of it for connected graphs, regular graphs, complete bipartite graphs, chemical graphs, tree, unicyclic graphs, and star graphs. Moreover, we compute the grap...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/8407032 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849400754045976576 |
|---|---|
| author | Young Chel Kwun Hafiz Mutee ur Rehman Muhammad Yousaf Waqas Nazeer Shin Min Kang |
| author_facet | Young Chel Kwun Hafiz Mutee ur Rehman Muhammad Yousaf Waqas Nazeer Shin Min Kang |
| author_sort | Young Chel Kwun |
| collection | DOAJ |
| description | The aim of this report to solve the open problem suggested by Chen et al. We study the graph entropy with ABC edge weights and present bounds of it for connected graphs, regular graphs, complete bipartite graphs, chemical graphs, tree, unicyclic graphs, and star graphs. Moreover, we compute the graph entropy for some families of dendrimers. |
| format | Article |
| id | doaj-art-8dda79bc52c24f0597a42b5336a22214 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8dda79bc52c24f0597a42b5336a222142025-08-20T03:37:56ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/84070328407032The Entropy of Weighted Graphs with Atomic Bond Connectivity Edge WeightsYoung Chel Kwun0Hafiz Mutee ur Rehman1Muhammad Yousaf2Waqas Nazeer3Shin Min Kang4Department of Mathematics, Dong-A University, Busan 49315, Republic of KoreaDivision of Science and Technology, University of Education Lahore 54000, PakistanDepartment of Mathematics, COMSATS University Islamabad, Lahore, Campus, Lahore 54000, PakistanDivision of Science and Technology, University of Education Lahore 54000, PakistanDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 52828, Republic of KoreaThe aim of this report to solve the open problem suggested by Chen et al. We study the graph entropy with ABC edge weights and present bounds of it for connected graphs, regular graphs, complete bipartite graphs, chemical graphs, tree, unicyclic graphs, and star graphs. Moreover, we compute the graph entropy for some families of dendrimers.http://dx.doi.org/10.1155/2018/8407032 |
| spellingShingle | Young Chel Kwun Hafiz Mutee ur Rehman Muhammad Yousaf Waqas Nazeer Shin Min Kang The Entropy of Weighted Graphs with Atomic Bond Connectivity Edge Weights Discrete Dynamics in Nature and Society |
| title | The Entropy of Weighted Graphs with Atomic Bond Connectivity Edge Weights |
| title_full | The Entropy of Weighted Graphs with Atomic Bond Connectivity Edge Weights |
| title_fullStr | The Entropy of Weighted Graphs with Atomic Bond Connectivity Edge Weights |
| title_full_unstemmed | The Entropy of Weighted Graphs with Atomic Bond Connectivity Edge Weights |
| title_short | The Entropy of Weighted Graphs with Atomic Bond Connectivity Edge Weights |
| title_sort | entropy of weighted graphs with atomic bond connectivity edge weights |
| url | http://dx.doi.org/10.1155/2018/8407032 |
| work_keys_str_mv | AT youngchelkwun theentropyofweightedgraphswithatomicbondconnectivityedgeweights AT hafizmuteeurrehman theentropyofweightedgraphswithatomicbondconnectivityedgeweights AT muhammadyousaf theentropyofweightedgraphswithatomicbondconnectivityedgeweights AT waqasnazeer theentropyofweightedgraphswithatomicbondconnectivityedgeweights AT shinminkang theentropyofweightedgraphswithatomicbondconnectivityedgeweights AT youngchelkwun entropyofweightedgraphswithatomicbondconnectivityedgeweights AT hafizmuteeurrehman entropyofweightedgraphswithatomicbondconnectivityedgeweights AT muhammadyousaf entropyofweightedgraphswithatomicbondconnectivityedgeweights AT waqasnazeer entropyofweightedgraphswithatomicbondconnectivityedgeweights AT shinminkang entropyofweightedgraphswithatomicbondconnectivityedgeweights |