The harmonic index of a graph G is defined as the sum of the weights 2d(u)+d(v)${2 \over {d(u) + d(v)}}$ of all edges uv of G, where d(u) denotes the degree of a vertex u in G. In this paper, we present the minimum harmonic index for unicyclic graphs with given diameter and characterize the corresponding extremal graphs. This answers an unsolved problem of Zhu and Chang [26]
Some years ago, the harmonic polynomial was introduced to study the harmonic topological index. Here...
AbstractThe Randić index R(G) of a graph G is defined as the sum of 1dudv over all edges uv of G, wh...
Some years ago, the harmonic polynomial was introduced to study the harmonic topological index. Here...
The harmonic index of a graph G is defined as the sum of the weight. In this paper we present the mi...
AbstractThe harmonic index of a graph G is defined as the sum of the weights 2d(u)+d(v) of all edges...
The harmonic index of a graph G, denoted by H(G), is defined as the sum of weights 2/[d(u) + d(v)] o...
The harmonic index of a graph G (HG) is defined as the sum of the weights 2/du+dv for all edges uv o...
The Merrifield–Simmons index iG of a graph G is defined as the number of subsets of the vertex set, ...
ABSTRACT The harmonic index)(GH, of a graph G is defined as the sum of weights 1))deg()(deg(2 vu o...
The harmonic index of a connected graph G , denoted by H(G) , is defined as H(G)=∑ uv∈E(G) 2d...
Copyright © 2013 Jianxi Liu. This is an open access article distributed under the Creative Commons A...
The Harary index of G is the sum of reciprocals of distance between any two vertices in G. In this p...
The Hosoya index of a graph is defined by the total number of the matchings of the graph. In this pa...
AbstractFor a connected simple graph G, the inverse degree index and forgotten index are defined as ...
The Randic ́ index of an organic molecule whose molecular graph is G is the sum of the weights (d(u)...
Some years ago, the harmonic polynomial was introduced to study the harmonic topological index. Here...
AbstractThe Randić index R(G) of a graph G is defined as the sum of 1dudv over all edges uv of G, wh...
Some years ago, the harmonic polynomial was introduced to study the harmonic topological index. Here...
The harmonic index of a graph G is defined as the sum of the weight. In this paper we present the mi...
AbstractThe harmonic index of a graph G is defined as the sum of the weights 2d(u)+d(v) of all edges...
The harmonic index of a graph G, denoted by H(G), is defined as the sum of weights 2/[d(u) + d(v)] o...
The harmonic index of a graph G (HG) is defined as the sum of the weights 2/du+dv for all edges uv o...
The Merrifield–Simmons index iG of a graph G is defined as the number of subsets of the vertex set, ...
ABSTRACT The harmonic index)(GH, of a graph G is defined as the sum of weights 1))deg()(deg(2 vu o...
The harmonic index of a connected graph G , denoted by H(G) , is defined as H(G)=∑ uv∈E(G) 2d...
Copyright © 2013 Jianxi Liu. This is an open access article distributed under the Creative Commons A...
The Harary index of G is the sum of reciprocals of distance between any two vertices in G. In this p...
The Hosoya index of a graph is defined by the total number of the matchings of the graph. In this pa...
AbstractFor a connected simple graph G, the inverse degree index and forgotten index are defined as ...
The Randic ́ index of an organic molecule whose molecular graph is G is the sum of the weights (d(u)...
Some years ago, the harmonic polynomial was introduced to study the harmonic topological index. Here...
AbstractThe Randić index R(G) of a graph G is defined as the sum of 1dudv over all edges uv of G, wh...
Some years ago, the harmonic polynomial was introduced to study the harmonic topological index. Here...
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