منابع مشابه
Relationship between Edge-wiener Index and Gutman Index of a Graph
The Wiener indexW (G) of a connected graphG is defined to be the sum ∑ u,v d(u, v) of the distances between the pairs of vertices in G. Similarly, the edge-Wiener index We(G) of G is defined to be the sum ∑ e,f d(e, f) of the distances between the pairs of edges in G, or equivalently, the Wiener index of the line graph L(G). Finally, the Gutman index Gut(G) is defined to be the sum ∑ u,v deg(u)...
متن کاملBounds on Gutman Index
The Gutman index (also known as Schultz index of the second kind) of a graph G is defined as Gut(G) = ∑ u,v∈V (G) d(u)d(v)d(u, v). We show that among all graphs on n vertices, the star graph Sn has minimal Gutman index. In addition, we present upper and lower bounds on Gutman index for graphs with minimal and graphs with maximal Gutman index. Corresponding author Supported by project 1M0545 of ...
متن کاملAshwini Index of a Graph
Motivated by the terminal Wiener index, we define the Ashwini index $mathcal{A}$ of trees as begin{eqnarray*} % nonumber to remove numbering (before each equation) mathcal{A}(T) &=& sumlimits_{1leq i
متن کاملThe Multiplicative Versions of the Reciprocal Degree Distance and Reciprocal Gutman Index of Some Graph Products
In this paper, we provide exact value of the multiplicative version of the reciprocal degree distance and the multiplicative version of the reciprocal Gutman index of Cartesian product of complete graphs. Also, we establish sharp upper bounds for the multiplicative version of the reciprocal degree distance and multiplicative version of the reciprocal Gutman index of strong product of graphs.
متن کاملGeneral neighbour-distinguishing index of a graph
It is proved that edges of a graph G can be coloured using χ(G) + 2 colours so that any two adjacent vertices have distinct sets of colours of their incident edges. In the case of a bipartite graph three colours are sufficient.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Match
سال: 2023
ISSN: ['0340-6253']
DOI: https://doi.org/10.46793/match.89-3.583d