The authors provided a simple method for calculating Wiener numbers of molecular graphs with symmetry in 1997.This paper intends to further improve on it and simplifies the calculation of the Wiener numbers of the mol...The authors provided a simple method for calculating Wiener numbers of molecular graphs with symmetry in 1997.This paper intends to further improve on it and simplifies the calculation of the Wiener numbers of the molecular graphs.展开更多
In theoretical chemistry, the geometric-arithmetic indices were introduced to measure the stability of alkanes and the strain energy of cycloalkanes. In this note, we report the general third geometric-arithmetic inde...In theoretical chemistry, the geometric-arithmetic indices were introduced to measure the stability of alkanes and the strain energy of cycloalkanes. In this note, we report the general third geometric-arithmetic index of unilateral polyomino chain and unilateral hexagonal chain. Also, the third geometric-arithmetic index of these chemical structures are presented.展开更多
In various fields,different networks are used,most of the time not of a single kind;but rather a mix of at least two networks.These kinds of networks are called bridge networks which are utilized in interconnection ne...In various fields,different networks are used,most of the time not of a single kind;but rather a mix of at least two networks.These kinds of networks are called bridge networks which are utilized in interconnection networks of PC,portable networks,spine of internet,networks engaged with advanced mechanics,power generation interconnection,bio-informatics and substance intensify structures.Any number that can be entirely calculated by a graph is called graph invariants.Countless mathematical graph invariants have been portrayed and utilized for connection investigation during the latest twenty years.Nevertheless,no trustworthy evaluation has been embraced to pick,how much these invariants are associated with a network graph or subatomic graph.In this paper,it will discuss three unmistakable varieties of bridge networks with an incredible capacity of assumption in the field of computer science,chemistry,physics,drug industry,informatics and arithmetic in setting with physical and manufactured developments and networks,since Contraharmonic-quadratic invariants(CQIs)are recently presented and have different figure qualities for different varieties of bridge graphs or networks.The study settled the geography of bridge graphs/networks of three novel sorts with two kinds of CQI and Quadratic-Contraharmonic Indices(QCIs).The deduced results can be used for the modeling of the above-mentioned networks.展开更多
Let G = (V;E) be a simple connected graph. The Wiener index is the sum of distances between all pairs of vertices of a connected graph. The Schultz topological index is equal to and the Modified Schultz topological in...Let G = (V;E) be a simple connected graph. The Wiener index is the sum of distances between all pairs of vertices of a connected graph. The Schultz topological index is equal to and the Modified Schultz topological index is . In this paper, the Schultz, Modified Schultz polynomials and their topological indices of Jahangir graphs J<sub>2,m</sub> for all integer number m ≥ 3 are calculated.展开更多
为了便于研究人员全面了解和分析绵羊乳腺炎研究热点和发展态势,研究基于web of science数据库中2000—2019年检索到的886篇关于绵羊乳腺炎的相关文献,运用VOSviewer软件对发文量、引文量、发文国家、刊载期刊、研究机构、研究作者、文...为了便于研究人员全面了解和分析绵羊乳腺炎研究热点和发展态势,研究基于web of science数据库中2000—2019年检索到的886篇关于绵羊乳腺炎的相关文献,运用VOSviewer软件对发文量、引文量、发文国家、刊载期刊、研究机构、研究作者、文献标题和关键词进行可视化分析并绘制相关图谱。结果表明:2000—2019年期间,绵羊乳腺炎相关文献的发文量在绵羊研究领域总发文量中的占比较小,为1.06%,并且2004年、2008年、2012年、2014年、2016年、2017年较前一年有下滑趋势,但随着年份增长占比总体呈现上升趋势;引文量随着年份增长上升趋势明显;关于绵羊乳腺炎的研究主要集中于意大利、美国、西班牙等西方国家,大学为主要研究机构;目前绵羊乳腺炎的研究热点主要集中在亚临床型乳腺炎检测及对其泌乳性能、免疫功能等方面的影响。说明未来绵羊乳腺炎领域研究的主要方向可能集中于绵羊乳腺炎的治疗、病原微生物研究、免疫机制及抗性遗传选育等方面。展开更多
文摘The authors provided a simple method for calculating Wiener numbers of molecular graphs with symmetry in 1997.This paper intends to further improve on it and simplifies the calculation of the Wiener numbers of the molecular graphs.
文摘In theoretical chemistry, the geometric-arithmetic indices were introduced to measure the stability of alkanes and the strain energy of cycloalkanes. In this note, we report the general third geometric-arithmetic index of unilateral polyomino chain and unilateral hexagonal chain. Also, the third geometric-arithmetic index of these chemical structures are presented.
基金the University of Jeddah,Jeddah,Saudi Arabia,under Grant No.(UJ-22-DR-14).
文摘In various fields,different networks are used,most of the time not of a single kind;but rather a mix of at least two networks.These kinds of networks are called bridge networks which are utilized in interconnection networks of PC,portable networks,spine of internet,networks engaged with advanced mechanics,power generation interconnection,bio-informatics and substance intensify structures.Any number that can be entirely calculated by a graph is called graph invariants.Countless mathematical graph invariants have been portrayed and utilized for connection investigation during the latest twenty years.Nevertheless,no trustworthy evaluation has been embraced to pick,how much these invariants are associated with a network graph or subatomic graph.In this paper,it will discuss three unmistakable varieties of bridge networks with an incredible capacity of assumption in the field of computer science,chemistry,physics,drug industry,informatics and arithmetic in setting with physical and manufactured developments and networks,since Contraharmonic-quadratic invariants(CQIs)are recently presented and have different figure qualities for different varieties of bridge graphs or networks.The study settled the geography of bridge graphs/networks of three novel sorts with two kinds of CQI and Quadratic-Contraharmonic Indices(QCIs).The deduced results can be used for the modeling of the above-mentioned networks.
文摘Let G = (V;E) be a simple connected graph. The Wiener index is the sum of distances between all pairs of vertices of a connected graph. The Schultz topological index is equal to and the Modified Schultz topological index is . In this paper, the Schultz, Modified Schultz polynomials and their topological indices of Jahangir graphs J<sub>2,m</sub> for all integer number m ≥ 3 are calculated.
文摘为了便于研究人员全面了解和分析绵羊乳腺炎研究热点和发展态势,研究基于web of science数据库中2000—2019年检索到的886篇关于绵羊乳腺炎的相关文献,运用VOSviewer软件对发文量、引文量、发文国家、刊载期刊、研究机构、研究作者、文献标题和关键词进行可视化分析并绘制相关图谱。结果表明:2000—2019年期间,绵羊乳腺炎相关文献的发文量在绵羊研究领域总发文量中的占比较小,为1.06%,并且2004年、2008年、2012年、2014年、2016年、2017年较前一年有下滑趋势,但随着年份增长占比总体呈现上升趋势;引文量随着年份增长上升趋势明显;关于绵羊乳腺炎的研究主要集中于意大利、美国、西班牙等西方国家,大学为主要研究机构;目前绵羊乳腺炎的研究热点主要集中在亚临床型乳腺炎检测及对其泌乳性能、免疫功能等方面的影响。说明未来绵羊乳腺炎领域研究的主要方向可能集中于绵羊乳腺炎的治疗、病原微生物研究、免疫机制及抗性遗传选育等方面。
