[PDF] Top 20 Some Topological Indices of Edge Corona of Two Graphs

... 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 ...These two indices are defined as ... See full document

... called topological indices) are used for modeling physicochemical, pharmacologic, toxicologic, biological and other properties of chemical ...connectivity indices based on the distances and ... See full document

... of corona and neighborhood corona of two ...of two corona ...the edge- subdivision-vertex corona and edge-subdivision-edge corona in terms of the ... See full document

... A topological index of a molecular graph G is a numeric quantity related to G which is invariant under symmetry properties of ...Zagreb indices , first and second Zagreb coindices of tensor product of ... See full document

... molecular graphs known as kenographs, see [13] for more in- ...Different topological indices such as Wiener-type indices [2], Szeged, vertex PI, first and second Zagreb in- dices [18], ... See full document

... graph G is the number of vertices adjacent to u. The notation uv represents an edge between two vertices u and v in G. The distance d(u, v) between any two vertices u and v is the length of shortest ... See full document

... For the purpose of this article, we use the following standard notations: Given a graph G = (V, E) and for u, v ∈ V, u being adjacent to v is denoted by u ∼ v and {u, v} ∈ E. The dis- tance between any two ... See full document

... the topological indices value for G up to n = ...and two vertices are of degree 2 and four vertices are of degree ...the edge partition, based on the degrees of vertices are shown in Table ... See full document

... of graphs. An introduction and an extensive overview on domination in graphs and related topics is surveyed and detailed in the two books by Haynes et al [7, ...employs some notion of product ... See full document

... Topological indices are sensitive to one or more structural features of the molecule such as size, shape, symmetry, branching, and topological indices are divided into two categories: ... See full document

... The corona of two graphs is defined in [3] and there have been some results on the corona of two graphs ...The corona product of two graphs G and H ; ... See full document

... us some hints on the significance and feasibility of the research on the chemical and pharmacological properties of these molecular ...the edge version of some topological indices for ... See full document

... Proof. The crown graph has 2n vertices and 2n edges, among them n vertices are of degree one and n vertices of degree three. Therefore we get the edge partition, based on the degrees of vertices as shown in Tables ... 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

... 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

... based topological indices like the Forgotten index, Zagreb and Banhatti indices of some derived graphs such as line graph, subdivision graph, vertex-semitotal graph, ... 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

... by graphs, so-called “molecular graphs” ...molecular graphs, such invariants are constructed so as to reflect relevant structural features of the underlying chemical ...as topological ... See full document

... called topological indices. Topological indices are usually defined via the molecular ...the edge set E, that | V |  n and | E |  m ...geometric–arithmetic indices of ... 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