Harmonic analysis on the Pascal graph
نویسندگان
چکیده
منابع مشابه
on the harmonic index of graph operations
the harmonic index of a connected graph $g$, denoted by $h(g)$, is defined as $h(g)=sum_{uvin e(g)}frac{2}{d_u+d_v}$ where $d_v$ is the degree of a vertex $v$ in g. in this paper, expressions for the harary indices of the join, corona product, cartesian product, composition and symmetric difference of graphs are derived.
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Note on the harmonic index of a graph
The harmonic index of a graph G is defined as the sum of weights 2 deg(v)+deg(u) of all edges uv of E(G), where deg(v) denotes the degree of a vertex v in V (G). In this note we generalize results of [L. Zhong, The harmonic index on graphs, Appl. Math. Lett. 25 (2012), 561– 566] and establish some upper and lower bounds on the harmonic index of G.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2009
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2009.01.011