For a given graph H, a graphic sequence π =(d1, d2, ···, dn) is said to be potentially H-graphic if π has a realization containing H as a subgraph. In this paper, we characterize the potentially C6+ P...For a given graph H, a graphic sequence π =(d1, d2, ···, dn) is said to be potentially H-graphic if π has a realization containing H as a subgraph. In this paper, we characterize the potentially C6+ P2-graphic sequences where C6+ P2 denotes the graph obtained from C6 by adding two adjacent edges to the three pairwise nonadjacent vertices of C6. Moreover, we use the characterization to determine the value of σ(C6+ P2, n).展开更多
The introduction of graph-theoretical structure descriptors represents an important step forward in the research of predictive models in chemistry and falls within the lines of the increasing use of mathematical and c...The introduction of graph-theoretical structure descriptors represents an important step forward in the research of predictive models in chemistry and falls within the lines of the increasing use of mathematical and computational methods in contemporary chemistry.The basis for these models is the study of the quantitative structure-property and structure-activity relationship.In this paper,we investigate Great rhom-bitrihexagonal which is a kind of dodecagon honeycomb net-work covered by quadrangle and hexagon.Many topological indexes of Great rhom-bitrihexagonal have being investigated,such as sum-connectivity index,atom-bond connectivity index,geometric-arithmetic index,fifth,harmonic index,Randićconnectivity index,first Zagreb index,second Zagreb index and the corresponding Zagreb polynomials,modified Zagreb index,fourth atom-bond connectivity index,augmented Zagreb index,hyper-Zagreb index,Sankruti index,forgotten topological index,first multiple Zagreb index,second multiple Zagreb index,as well as derived geometric-arithmetic index,Narumi-Katayama index and modified Narumi-Katayama index.展开更多
基金Foundation item： Supported by the National Natural Science Foundation of China（11101358） Supported by the Project of Fujian Education Department（JA11165）+1 种基金 Supported by the Project of Education Department of Fujian Province（JA12209） Supported by the Project of Zhangzhou Teacher＇s College（S11104）
文摘For a given graph H, a graphic sequence π =(d1, d2, ···, dn) is said to be potentially H-graphic if π has a realization containing H as a subgraph. In this paper, we characterize the potentially C6+ P2-graphic sequences where C6+ P2 denotes the graph obtained from C6 by adding two adjacent edges to the three pairwise nonadjacent vertices of C6. Moreover, we use the characterization to determine the value of σ(C6+ P2, n).
文摘The introduction of graph-theoretical structure descriptors represents an important step forward in the research of predictive models in chemistry and falls within the lines of the increasing use of mathematical and computational methods in contemporary chemistry.The basis for these models is the study of the quantitative structure-property and structure-activity relationship.In this paper,we investigate Great rhom-bitrihexagonal which is a kind of dodecagon honeycomb net-work covered by quadrangle and hexagon.Many topological indexes of Great rhom-bitrihexagonal have being investigated,such as sum-connectivity index,atom-bond connectivity index,geometric-arithmetic index,fifth,harmonic index,Randićconnectivity index,first Zagreb index,second Zagreb index and the corresponding Zagreb polynomials,modified Zagreb index,fourth atom-bond connectivity index,augmented Zagreb index,hyper-Zagreb index,Sankruti index,forgotten topological index,first multiple Zagreb index,second multiple Zagreb index,as well as derived geometric-arithmetic index,Narumi-Katayama index and modified Narumi-Katayama index.
