[PDF] Top 20 Edge-decomposition of topological indices

... as topological indices. More than a thousand topological indices has been proposed until now [2], several of which were found to be successful in chemical, physicochemical, or pharmacologic ... See full document

... Topological indices are the molecular descriptors that describe the structures of chemical compounds and they help us to predict certain physic-chemical properties like boiling point, enthalpy of ... See full document

... several topological graph indices have been defined and studied by many mathematicians and chemists as most graphs are generated from molecules by replacing atoms with vertices and bonds with ...as ... See full document

... An edge e of S is said to be positive or negative in accordance with its signature σ (e) is positive or negative. The number of positive edges incident on a vertex v in S is the positive degree of v and is denoted ... See full document

... a topological index, the fields of chemical graph theory and in also known as a connectivity index, is a type of a molecular descriptor that is calculated based on the molecular graph of a chemical compound ... See full document

... WK-recursive network is a class of graphs, which was introduced in computer science in [2, 11]. WK-recursive networks are structurally close to Sierpiński graphs, these can be ob- tained from Sierpiński graphs by adding ... See full document

... other graph invariants. For trees (acyclic graphs) Wiener defined W as the sum of products of the numbers of vertices on the two sides of each edge; for more details about Wiener index see [2 - 5]. Here our ... See full document

... Joint structure and graph operation of basic molecular structures are frequently found in the new chemical compounds, nanomaterials and drugs in the fields of chemical and phar- maceutical engineering. The phenomenon ... See full document

... and edge set E. A topological index of a simple connected graph G is a graph invariant which is related to the structure of the ...known topological index of a simple connected graph which is studied ... See full document

... and edge sets V(G) and E(G), ...A topological index is a real number related to a ...several topological indices have been defined and many of them have found applications as means to model ... See full document

... and edge- set of G are denoted by V(G) and E(G), ...invariant indices of a connected graph G. Topological indices based on the distance between the vertices of a connected graph are widely ... See full document

... Topological indices are the molecular descriptors that describe the structures of chemical compounds and they help us to predict certain physic-chemical properties like boiling point, enthalpy of ... See full document

... Bo Zhou and Nenad Trinajstic [10] introduced Sum-connectivity index . In the de- finition of Randić’s branching index they replaced the product deg u ( ) × deg v ( ) of vertex degrees with the sum deg u ( ) + deg v ( ) ... See full document

... Zagreb indices of a graph denoted by M G 1 ( ) and M G 2 ( ) , respectively, are degree based topological indices introduced by Gutman and Trinajstić ...two indices are defined as ... See full document

... K-Banhatti indices, AK-Banhatti index, Reformulated K-Banhatti index, First and second hyper K-Banhatti indices, K-Banhatti Randic index, K-Banhatti reciprocal Randic index and Forgotten K-Banhatti index ... See full document

... constitutional, topological, connectivity indices, 2D-autocorrela- tion, edge adjacency indices, topological charge indices, 3D Morse descriptors, WHIM Descriptors of molecules ... See full document

... Ring-cut Method. The readers can consult [15, 29-33, 37, 38] for more information about the Cut Method and it modify version Ring-cut Method. The Ring-cut Method divides all vertices of a graph G into some partitions ... See full document

... [r] ... See full document

... The forgotten topological index or F-index has more applications in the analysis of drug molecular structures, which was introduced by Furtula and Gutman [7]. The F- index is used to express the biological and ... See full document

... The authors investigated the relationship between the total π-electron energy on molecules and Zagreb indices [3]. For the details see the references [4-6]. Randić investigated the measuring the extent of ... See full document