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Match-Communications in Mathematical and in Computer Chemistry最新文献

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New Variants of Gutman’s Formulas on the Algebraic Structure Count 关于代数结构计数的Gutman公式的新变体
IF 2.6 2区 化学
Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2023-01-01 DOI: 10.46793/match.89-3.643y
Luzhen Ye
{"title":"New Variants of Gutman’s Formulas on the Algebraic Structure Count","authors":"Luzhen Ye","doi":"10.46793/match.89-3.643y","DOIUrl":"https://doi.org/10.46793/match.89-3.643y","url":null,"abstract":"","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73765950","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}
引用次数: 0
Chebyshev's Sum Inequality and the Zagreb Indices Inequality Chebyshev和不等式与Zagreb指数不等式
IF 2.6 2区 化学
Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2022-12-29 DOI: 10.46793/match.90-1.187t
Hanjo Taubig
{"title":"Chebyshev's Sum Inequality and the Zagreb Indices Inequality","authors":"Hanjo Taubig","doi":"10.46793/match.90-1.187t","DOIUrl":"https://doi.org/10.46793/match.90-1.187t","url":null,"abstract":"In a recent article, Nadeem and Siddique used Chebyshev’s sum inequality to establish the Zagreb indices inequality M1/n ≤ M2/m for undirected graphs in the case where the degree sequence (di) and the degree-sum sequence (Si) are similarly ordered. We show that this is actually not a completely new result and we discuss several related results that also cover similar inequalities for directed graphs, as well as sum-symmetric matrices and Eulerian directed graphs.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87582179","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}
引用次数: 0
A Note on Extremal Sombor Indices of Trees with a Given Degree Sequence 给定度序列树的极值Sombor指数的一个注记
IF 2.6 2区 化学
Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2022-11-22 DOI: 10.46793/match.90-1.197d
Ivan Damnjanovi'c, Marko Milovsevi'c, Dragan Stevanovi'c
{"title":"A Note on Extremal Sombor Indices of Trees with a Given Degree Sequence","authors":"Ivan Damnjanovi'c, Marko Milovsevi'c, Dragan Stevanovi'c","doi":"10.46793/match.90-1.197d","DOIUrl":"https://doi.org/10.46793/match.90-1.197d","url":null,"abstract":"We note here that the problem of determining extremal values of Sombor index for trees with a given degree sequence fits within the framework of results by Hua Wang from [Cent. Eur. J. Math. 12 (2014) 1656-1663], implying that the greedy tree has the minimum Sombor index, while an alternating greedy tree has the maximum Sombor index.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74987322","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}
引用次数: 0
Criteria for a Structure to be Mesoionic 中离子结构的标准
IF 2.6 2区 化学
Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2022-08-01 DOI: 10.46793/match.89-1.005s
Georgii N. Sizov, E. Babaev
{"title":"Criteria for a Structure to be Mesoionic","authors":"Georgii N. Sizov, E. Babaev","doi":"10.46793/match.89-1.005s","DOIUrl":"https://doi.org/10.46793/match.89-1.005s","url":null,"abstract":"In the article, at the mathematical level of rigor, it is shown that the pair of concepts \"covalence – mesoionicity\" correlates in the same way as the pair \"kekuleness – non-kekuleness\". A criterion for a structure to be mesoionic (mesoionicity criterion) is formulated and proved, which makes it possible to enumerate all mono-charged mesoionic structures (mesomeric betaines) on a given graph. The mesoionicity criterion and the Kasteleyn theorem (on counting the number of perfect matchings in a graph) were used as the basis for a computer program that classifies dipolar resonance structures. The work of the program is demonstrated on the lists of obtained mesoionic structures. A general approach to mesoionicity is discussed.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80136566","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}
引用次数: 0
On Sombor Index and Graph Energy Sombor指数与图能
IF 2.6 2区 化学
Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2022-08-01 DOI: 10.46793/match.89-2.451r
Mohammed Selim Reja, S. M. Abu Nayeem
{"title":"On Sombor Index and Graph Energy","authors":"Mohammed Selim Reja, S. M. Abu Nayeem","doi":"10.46793/match.89-2.451r","DOIUrl":"https://doi.org/10.46793/match.89-2.451r","url":null,"abstract":"","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91234081","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}
引用次数: 0
Polynomial Time Reachability Analysis in Discrete State Chemical Reaction Networks Obeying Conservation Laws 服从守恒定律的离散态化学反应网络的多项式时间可达性分析
IF 2.6 2区 化学
Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2022-08-01 DOI: 10.46793/match.89-1.175s
Gergely Szlobodnyik, G. Szederkényi
{"title":"Polynomial Time Reachability Analysis in Discrete State Chemical Reaction Networks Obeying Conservation Laws","authors":"Gergely Szlobodnyik, G. Szederkényi","doi":"10.46793/match.89-1.175s","DOIUrl":"https://doi.org/10.46793/match.89-1.175s","url":null,"abstract":"In this paper the reachability problem of discrete state Chemical Reaction Networks (d-CRNs) is studied. We consider sub-classes of sub-and superconservative d-CRN network structures and prove that the reachability relation can be decided in polynomial time. We make use of the result that in the studied d-CRN sub-classes, the reachability relation is equivalent to the existence of a non-negative integer solution of the d-CRN state equation. The equivalence implies the reformulation of the reachability problem as integer linear programming decision problem. We show that in the studied classes of d-CRN structures, the state equation has a totally unimodular coefficient matrix. As the reachability relation is equivalent to the non-negative integer solution of the state equation, the resulting integer programming decision program can be relaxed to a simple linear program having polynomial time complexity. Hence, in the studied sub-classes of sub and superconservative reaction network structures, the reachability relation can be decided in polynomial time and the number of continuous decision variables is equal to the number of reactions of the d-CRN.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75100449","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}
引用次数: 0
Mathematical and Kinetic Study of Horiuti-Polanyi Reaction Mechanism for the Methylcyclohexane Dehydrogenation Over Various Pt/Al2O3 Catalysts 不同Pt/Al2O3催化剂上horiti - polanyi反应甲基环己烷脱氢机理的数学和动力学研究
IF 2.6 2区 化学
Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2022-08-01 DOI: 10.46793/match.89-1.049a
M. S. Akram, M. Usman, F. S. AlHumaidan
{"title":"Mathematical and Kinetic Study of Horiuti-Polanyi Reaction Mechanism for the Methylcyclohexane Dehydrogenation Over Various Pt/Al2O3 Catalysts","authors":"M. S. Akram, M. Usman, F. S. AlHumaidan","doi":"10.46793/match.89-1.049a","DOIUrl":"https://doi.org/10.46793/match.89-1.049a","url":null,"abstract":"The Horiuti-Polanyi (HP) mechanism has been studied for the methylcyclohexane dehydrogenation reaction over a Pt/AlO catalyst. Three HP mechanistic schemes such as competitive, non-competitive, and combined-competitive-non-competitive were used in the kinetic modeling of the experimental data. The loss of first hydrogen atom was regarded as the rate-determining step and the mathematical expressions were developed and fitted against the data. A FORTRAN routine was employed where 4th order Runge-Kutta method was used to solve the related differential equation and Marquardt algorithm was used for the parametric estimation. A kinetically and statistically best-fit HP kinetic equation was obtained with 87.96 kJ/mol of activation energy. The best-fit kinetic model was tested with five additional Pt-containing AlO catalysts and yet again found in good agreement with the experimental data.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85414820","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}
引用次数: 0
Improving a Lower Bound for Seidel Energy of Graphs 图的Seidel能量下界的改进
IF 2.6 2区 化学
Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2022-08-01 DOI: 10.46793/match.89-2.489o
M. Oboudi, M. Nematollahi
{"title":"Improving a Lower Bound for Seidel Energy of Graphs","authors":"M. Oboudi, M. Nematollahi","doi":"10.46793/match.89-2.489o","DOIUrl":"https://doi.org/10.46793/match.89-2.489o","url":null,"abstract":"","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81583283","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}
引用次数: 0
Computing the Number of Matchings in Catacondensed Benzenoid Systems 浓缩苯系中匹配数的计算
IF 2.6 2区 化学
Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2022-08-01 DOI: 10.46793/match.89-1.223o
M. Oz
{"title":"Computing the Number of Matchings in Catacondensed Benzenoid Systems","authors":"M. Oz","doi":"10.46793/match.89-1.223o","DOIUrl":"https://doi.org/10.46793/match.89-1.223o","url":null,"abstract":"The Hosoya index of is defined as the total number of independent edge sets (number of -matchings ) in . The Hosoya index is one of the most important topological indices in the field of mathematical chemistry because of its relationship with several thermodynamic properties. Therefore, computation of the number of -matchings of various molecular structures has importance. Two methods, one for computing the number of the Hosoya index of catacondensed benzenoid systems and the other for the number of -matchings in benzenoid chains (unbranched catacondensed benzenoid systems), have been presented so far. In this paper, a method based on some transfer matrices to compute the number of -matchings of arbitrary (both unbranched and branched) catacondensed benzenoid systems is presented. Moreover, some algorithms are designed to keep the applicability of the method the same as increases.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73249695","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}
引用次数: 1
Bifurcation Anti-Control Tactics of a Fractional-Order Stable Chemical Reaction System 分数阶稳定化学反应系统的分岔反控制策略
IF 2.6 2区 化学
Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2022-08-01 DOI: 10.46793/match.89-1.143l
Zuozhi Liu
{"title":"Bifurcation Anti-Control Tactics of a Fractional-Order Stable Chemical Reaction System","authors":"Zuozhi Liu","doi":"10.46793/match.89-1.143l","DOIUrl":"https://doi.org/10.46793/match.89-1.143l","url":null,"abstract":"Establishing suitable differential dynamical models to describe the real natural phenomenon in chemistry and physics has become a very hot topic in nowadays society. In this present research, we deal with a fractional-order chemical reaction system. Taking advantage of the fixed point theorem, we prove the existence and uniqueness of the fractional-order chemical reaction system. Using the inequality skill, we prove the non-negativeness of the fractional-order chemical reaction system. By applying a suitable function, we prove the uniform boundedness of the solution to the fractional-order chemical reaction system. With the aid of a hybrid controller including state feedback and parameter perturbation, we discuss the Hopf bifurcation anti-control issue of the fractional-order stable chemical reaction system. A novel delay-independent condition ensuring the stability and the onset of Hopf bifurcation of the involved fractional-order stable chemical reaction system is set up. The study manifests that the delay in the hybrid controller plays a vital role in stabilizing the system and controlling the occurrence of Hopf bifurcation of the fractional-order stable chemical reaction system. In order to validate the derived key conclusions, MATLAB simulations are executed and bifurcation plots are given. The obtained results of this article have momentous theoretical guiding value in controlling the chemical compositions. The exploration idea can also be utilized to investigate the bifurcation control and bifurcation anti-control problems in lots of other fractional-order differential systems in numerous disciplines.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88434282","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}
引用次数: 0
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