Pub Date : 2023-10-01DOI: 10.46793/match.91-2.299l
Luyi Li, Xueliang Li, Weihao Liu
{"title":"Note on the Product of Wiener and Harary Indices","authors":"Luyi Li, Xueliang Li, Weihao Liu","doi":"10.46793/match.91-2.299l","DOIUrl":"https://doi.org/10.46793/match.91-2.299l","url":null,"abstract":"","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136093341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.46793/match.91-2.533s
Laxman Saha
{"title":"Relations between p-Sombor and Other Degree-Based Indices","authors":"Laxman Saha","doi":"10.46793/match.91-2.533s","DOIUrl":"https://doi.org/10.46793/match.91-2.533s","url":null,"abstract":"","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136159866","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.46793/match.91-1.255l
Hechao Liu, Zenan Du, Yufei Huang, Hanlin Chen, Suresh Elumalai
{"title":"Note on the Minimum Bond Incident Degree Indices of k-Cyclic Graphs","authors":"Hechao Liu, Zenan Du, Yufei Huang, Hanlin Chen, Suresh Elumalai","doi":"10.46793/match.91-1.255l","DOIUrl":"https://doi.org/10.46793/match.91-1.255l","url":null,"abstract":"","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136056277","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.46793/match.91-2.513s
Rui Song, Saihua Liu, Jianping Ou, Jianbin Cui
Graovac-Ghorbani index is a new version of the atom-bond connectivity index. D. Pacheco et al. [MATCH Commun. Math. Comput. Chem. 86 (2021) 429-448] conjectured a sharp lower and upper bounds to the Graovac-Ghorbani index for all bicyclic graphs. Motivated by their nice work, in this paper we determine the maximal Graovac-Ghorbani index of bicyclic graphs and characterize the corresponding extremal graphs, which solves one of their Conjectures.
{"title":"On Bicyclic Graphs with Maximal Graovac-Ghorbani Index","authors":"Rui Song, Saihua Liu, Jianping Ou, Jianbin Cui","doi":"10.46793/match.91-2.513s","DOIUrl":"https://doi.org/10.46793/match.91-2.513s","url":null,"abstract":"Graovac-Ghorbani index is a new version of the atom-bond connectivity index. D. Pacheco et al. [MATCH Commun. Math. Comput. Chem. 86 (2021) 429-448] conjectured a sharp lower and upper bounds to the Graovac-Ghorbani index for all bicyclic graphs. Motivated by their nice work, in this paper we determine the maximal Graovac-Ghorbani index of bicyclic graphs and characterize the corresponding extremal graphs, which solves one of their Conjectures.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136159921","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.46793/match.91-1.005d
Darko Dimitrov, Zhibin Du
The problem of complete characterization of trees with minimal atom-bond-connectivity index (minimal-ABC trees) has a reputation as one of the most challenging and intriguing open problems in mathematical chemistry. Recently, the problem has been completely solved. Here, we provide an overview of the key results that led to its complete solution.
{"title":"The ABC Index Conundrum's Complete Solution","authors":"Darko Dimitrov, Zhibin Du","doi":"10.46793/match.91-1.005d","DOIUrl":"https://doi.org/10.46793/match.91-1.005d","url":null,"abstract":"The problem of complete characterization of trees with minimal atom-bond-connectivity index (minimal-ABC trees) has a reputation as one of the most challenging and intriguing open problems in mathematical chemistry. Recently, the problem has been completely solved. Here, we provide an overview of the key results that led to its complete solution.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136056382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.46793/match.91-2.367x
Changjin Xu, Wei Ou, Yicheng Pang, Qingyi Cui, Mati ur Rahman, Muhammad Farman, Shabir Ahmad, Anwar Zeb
Building delayed dynamical models to describe the inherent laws of different chemical matters has become a hot theme in recent years. In this current study, we set up a new fractional-order delayed turbidostat model. By using laplace transform, we obtain the characteristic equation of established fractional-order delayed turbidostat model. By selecting the delay as bifurcation parameter and exploring the roots of the corresponding characteristic equation of the involved fractional-order delayed turbidostat model, a novel delay-dependent condition on stability and Hopf bifurcation is acquired. Taking advantage of a novel extended hybrid controller, the stability region and the time of Hopf bifurcation of the established fractional-order delayed turbidostat model are successfully controlled. The role of delay in stabilizing system and controlling Hopf bifurcation is revealed. Matlab experiments are carried out to check the rationality of the acquired key outcomes in this article. The acquired outcomes of this study are completely new and own great theoretical value in dominating concentrations of various chemical matters.
{"title":"Hopf Bifurcation Control of a Fractional-Order Delayed Turbidostat Model via a Novel Extended Hybrid Controller","authors":"Changjin Xu, Wei Ou, Yicheng Pang, Qingyi Cui, Mati ur Rahman, Muhammad Farman, Shabir Ahmad, Anwar Zeb","doi":"10.46793/match.91-2.367x","DOIUrl":"https://doi.org/10.46793/match.91-2.367x","url":null,"abstract":"Building delayed dynamical models to describe the inherent laws of different chemical matters has become a hot theme in recent years. In this current study, we set up a new fractional-order delayed turbidostat model. By using laplace transform, we obtain the characteristic equation of established fractional-order delayed turbidostat model. By selecting the delay as bifurcation parameter and exploring the roots of the corresponding characteristic equation of the involved fractional-order delayed turbidostat model, a novel delay-dependent condition on stability and Hopf bifurcation is acquired. Taking advantage of a novel extended hybrid controller, the stability region and the time of Hopf bifurcation of the established fractional-order delayed turbidostat model are successfully controlled. The role of delay in stabilizing system and controlling Hopf bifurcation is revealed. Matlab experiments are carried out to check the rationality of the acquired key outcomes in this article. The acquired outcomes of this study are completely new and own great theoretical value in dominating concentrations of various chemical matters.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136093339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The σ-Irregularity of Chemical Trees","authors":"Žana Kovijanić Vukićević, Goran Popivoda, Saša Vujošević, Riste Škrekovski, Darko Dimitrov","doi":"10.46793/match.91-1.267k","DOIUrl":"https://doi.org/10.46793/match.91-1.267k","url":null,"abstract":"","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136056396","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.46793/match.91-1.197x
Si-Ao Xu, Baoyindureng Wu
{"title":"(n,m)-Graphs with Maximum Vertex–Degree Function–Index for Convex Functions","authors":"Si-Ao Xu, Baoyindureng Wu","doi":"10.46793/match.91-1.197x","DOIUrl":"https://doi.org/10.46793/match.91-1.197x","url":null,"abstract":"","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136056822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.46793/match.91-2.337v
Kean Arkhei M. Villareal, Bryan S. Hernandez, Patrick Vincent N. Lubenia
{"title":"Derivation of Steady State Parametrizations of Chemical Reaction Networks with n Independent and Identical Subnetworks","authors":"Kean Arkhei M. Villareal, Bryan S. Hernandez, Patrick Vincent N. Lubenia","doi":"10.46793/match.91-2.337v","DOIUrl":"https://doi.org/10.46793/match.91-2.337v","url":null,"abstract":"","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":"216 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136093337","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-01DOI: 10.46793/match.91-2.499w
Mihrigul Wali, Jianguo Qian, Chao Shi
{"title":"Extremal Graphs for Vertex-Degree-Based Indices with Given Matching Number","authors":"Mihrigul Wali, Jianguo Qian, Chao Shi","doi":"10.46793/match.91-2.499w","DOIUrl":"https://doi.org/10.46793/match.91-2.499w","url":null,"abstract":"","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136093342","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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