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Iranian journal of mathematical chemistry最新文献

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On common neighborhood graphs II 关于共邻域图2
IF 1.3
Iranian journal of mathematical chemistry Pub Date : 2018-03-01 DOI: 10.22052/IJMC.2017.53463.1195
A. Hamzeh, A. Iranmanesh, S. Hossein-Zadeh, M. Hosseinzadeh, I. Gutman
{"title":"On common neighborhood graphs II","authors":"A. Hamzeh, A. Iranmanesh, S. Hossein-Zadeh, M. Hosseinzadeh, I. Gutman","doi":"10.22052/IJMC.2017.53463.1195","DOIUrl":"https://doi.org/10.22052/IJMC.2017.53463.1195","url":null,"abstract":"Let G be a simple graph with vertex set V (G). The common neighborhood graph or congraph of G, denoted by con(G), is a graph with vertex set V (G), in which two vertices are adjacent if and only if they have at least one common neighbor in G. We compute the congraphs of some composite graphs. Using these results, the congraphs of several special graphs are determined.","PeriodicalId":14545,"journal":{"name":"Iranian journal of mathematical chemistry","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2018-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75263333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
General Theory of Cycle-Dependence of Total pi-Electron Energy 总电子能量循环依赖的一般理论
IF 1.3
Iranian journal of mathematical chemistry Pub Date : 2018-03-01 DOI: 10.22052/IJMC.2017.83263.1285
I. Gutman
{"title":"General Theory of Cycle-Dependence of Total pi-Electron Energy","authors":"I. Gutman","doi":"10.22052/IJMC.2017.83263.1285","DOIUrl":"https://doi.org/10.22052/IJMC.2017.83263.1285","url":null,"abstract":"The theoretical treatment of cycle-effects on total pi-electron energy, mainly elaborated by Nenad Trinajstic and his research group, is re-stated in a general and more formal manner. It enables to envisage several other possible ways of measuring the cycle-effects and points at further directions of research.","PeriodicalId":14545,"journal":{"name":"Iranian journal of mathematical chemistry","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2018-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78089914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
More inequalities for Laplacian indices by way of majorization 用多数化方法得到拉普拉斯指数的更多不等式
IF 1.3
Iranian journal of mathematical chemistry Pub Date : 2018-03-01 DOI: 10.22052/IJMC.2017.100951.1317
J. Palacios
{"title":"More inequalities for Laplacian indices by way of majorization","authors":"J. Palacios","doi":"10.22052/IJMC.2017.100951.1317","DOIUrl":"https://doi.org/10.22052/IJMC.2017.100951.1317","url":null,"abstract":"The n-tuple of Laplacian characteristic values of a graph is majorized by the conjugate sequence of its degrees. Using that result we find a collection of general inequalities for a number of Laplacian indices expressed in terms of the conjugate degrees, and then with a maximality argument, we find tight general bounds expressed in terms of the size of the vertex set n and the average degree dG = 2|E|/n. We also find some particular tight bounds for some classes of graphs in terms of customary graph parameters.","PeriodicalId":14545,"journal":{"name":"Iranian journal of mathematical chemistry","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2018-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91004352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Hypercube related polytopes 超立方体相关多面体
IF 1.3
Iranian journal of mathematical chemistry Pub Date : 2018-03-01 DOI: 10.22052/IJMC.2017.101019.1318
M. Diudea
{"title":"Hypercube related polytopes","authors":"M. Diudea","doi":"10.22052/IJMC.2017.101019.1318","DOIUrl":"https://doi.org/10.22052/IJMC.2017.101019.1318","url":null,"abstract":"A regular polyhedron is a polyhedron having congruent regular polygons as faces, arranged in the same manner around identical vertices; its symmetry group acts transitively on its flags, a regular polyhedron being vertex-, edgeand face-transitive [1]. They show three symmetry groups: tetrahedral; octahedral (or cubic) and icosahedral (or dodecahedral). Any shapes with icosahedral or octahedral symmetry will also include the tetrahedral symmetry. There are five regular polyhedra, known as Platonic polyhedral solids: tetrahedron (T), cube (C), octahedron (O), dodecahedron (D) and icosahedron (I), written as {3,3}; {4,3}; {3,4}; {5,3} and {3,5} by using the basic Schlӓfli [2] symbols {p,q} where p is the number of vertices in a given face while q is the number of faces containing a given vertex.","PeriodicalId":14545,"journal":{"name":"Iranian journal of mathematical chemistry","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2018-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74901435","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Weak Chemical Hyperstructures Associated to Electrochemical Cells 与电化学电池相关的弱化学超结构
IF 1.3
Iranian journal of mathematical chemistry Pub Date : 2018-03-01 DOI: 10.22052/IJMC.2017.88790.1294
M. A. Tahan, B. Davvaz
{"title":"Weak Chemical Hyperstructures Associated to Electrochemical Cells","authors":"M. A. Tahan, B. Davvaz","doi":"10.22052/IJMC.2017.88790.1294","DOIUrl":"https://doi.org/10.22052/IJMC.2017.88790.1294","url":null,"abstract":"Algebraic hyperstructures have many applications in various sciences. The main purpose of this paper is to provide a new application of weak hyperstructures in Chemistry. More precisely, we present three different examples of hyperstructures associated to electrochemical cells. In which we prove that our hyperstructures are Hv-semigroups and we present some interesting results.","PeriodicalId":14545,"journal":{"name":"Iranian journal of mathematical chemistry","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2018-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72531791","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
A Note on Revised Szeged Index of Graph Operations 关于图运算的修正Szeged索引的注解
IF 1.3
Iranian journal of mathematical chemistry Pub Date : 2018-03-01 DOI: 10.22052/IJMC.2017.58647.1228
N. Dehgardi
{"title":"A Note on Revised Szeged Index of Graph Operations","authors":"N. Dehgardi","doi":"10.22052/IJMC.2017.58647.1228","DOIUrl":"https://doi.org/10.22052/IJMC.2017.58647.1228","url":null,"abstract":"Let $G$ be a finite and simple graph with edge set $E(G)$‎. ‎The revised Szeged index is defined as‎ ‎$Sz^{*}(G)=sum_{e=uvin E(G)}(n_u(e|G)+frac{n_{G}(e)}{2})(n_v(e|G)+frac{n_{G}(e)}{2}),$‎ ‎where $n_u(e|G)$ denotes the number of vertices in $G$ lying closer to $u$ than to $v$ and‎ ‎$n_{G}(e)$ is the number of‎ ‎equidistant vertices of $e$ in $G$‎. ‎In this paper‎, ‎we compute the revised Szeged index of the‎ ‎join and corona product of graphs‎.","PeriodicalId":14545,"journal":{"name":"Iranian journal of mathematical chemistry","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2018-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72598104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
The uniqueness theorem for inverse nodal problems with a chemical potential 具有化学势的逆节点问题的唯一性定理
IF 1.3
Iranian journal of mathematical chemistry Pub Date : 2017-12-01 DOI: 10.22052/IJMC.2016.39228
S. Mosazadeh
{"title":"The uniqueness theorem for inverse nodal problems with a chemical potential","authors":"S. Mosazadeh","doi":"10.22052/IJMC.2016.39228","DOIUrl":"https://doi.org/10.22052/IJMC.2016.39228","url":null,"abstract":"In this paper, an inverse nodal problem for a second-order differential equation having a chemical potential on a finite interval is investigated. First, we estimate the nodal points and nodal lengths of differential operator. Then, we show that the potential can be uniquely determined by a dense set of nodes of the eigenfunctions.","PeriodicalId":14545,"journal":{"name":"Iranian journal of mathematical chemistry","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85951861","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
Solving time-fractional chemical engineering equations by modified variational iteration method as fixed point iteration method 将改进的变分迭代法作为不动点迭代法求解时间分数阶化工方程
IF 1.3
Iranian journal of mathematical chemistry Pub Date : 2017-12-01 DOI: 10.22052/IJMC.2017.29095.1109
A. HaghBin, H. Jafari
{"title":"Solving time-fractional chemical engineering equations by modified variational iteration method as fixed point iteration method","authors":"A. HaghBin, H. Jafari","doi":"10.22052/IJMC.2017.29095.1109","DOIUrl":"https://doi.org/10.22052/IJMC.2017.29095.1109","url":null,"abstract":"The variational iteration method(VIM) was extended to find approximate solutions of fractional chemical engineering equations. The Lagrange multipliers of the VIM were not identified explicitly. In this paper we improve the VIM by using concept of fixed point iteration method. Then this method was implemented for solving system of the time fractional chemical engineering equations. The obtained approximate solutions are compared with the numerical results in the literature to show the applicability, efficiency and accuracy of the method.","PeriodicalId":14545,"journal":{"name":"Iranian journal of mathematical chemistry","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73467418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Extremal Trees with Respect to Some Versions of Zagreb Indices Via Majorization 关于一些版本的Zagreb指数的极值树
IF 1.3
Iranian journal of mathematical chemistry Pub Date : 2017-12-01 DOI: 10.22052/IJMC.2017.46693.1161
M. Eliasi, A. Ghalavand
{"title":"Extremal Trees with Respect to Some Versions of Zagreb Indices Via Majorization","authors":"M. Eliasi, A. Ghalavand","doi":"10.22052/IJMC.2017.46693.1161","DOIUrl":"https://doi.org/10.22052/IJMC.2017.46693.1161","url":null,"abstract":"The aim of this paper is using the majorization technique to identify the classes of trees with extermal (minimal or maximal) value of some topological indices, among all trees of order n ≥ 12.","PeriodicalId":14545,"journal":{"name":"Iranian journal of mathematical chemistry","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77795632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Borderenergetic graphs of order 12 12阶的边能图
IF 1.3
Iranian journal of mathematical chemistry Pub Date : 2017-12-01 DOI: 10.22052/IJMC.2017.87093.1290
Boris Furtula, I. Gutman
{"title":"Borderenergetic graphs of order 12","authors":"Boris Furtula, I. Gutman","doi":"10.22052/IJMC.2017.87093.1290","DOIUrl":"https://doi.org/10.22052/IJMC.2017.87093.1290","url":null,"abstract":"A graph G of order n is said to be borderenergetic if its energy is equal to 2n-2 and if G differs from the complete graph Kn. The first such graph was discovered in 2001, but their systematic study started only in 2015. Until now, the number of borderenergetic graphs of order n was determined for n","PeriodicalId":14545,"journal":{"name":"Iranian journal of mathematical chemistry","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82943242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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