Some Lower Bounds for Estrada Index

نویسندگان

  • B. ZHOU South China Normal University, China
  • Z. DU South China Normal University, China
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Lower Bounds for Estrada Index

If G is an (n,m)-graph whose spectrum consists of the numbers λ1, λ2, . . . , λn, then its Estrada index is EE(G) = ∑n i=1 e λi . We establish lower bounds for EE(G) in terms of n and m. Introduction In this paper we are concerned with simple graphs, that have no loops and no multiple or directed edges. Let G be such a graph, and let n and m be the number of its vertices and edges. Then we say ...

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New Lower Bounds for Estrada Index

Let G be an n-vertex graph. If λ1, λ2, . . . , λn are the adjacency eigenvalues of G, then the Estrada index and the energy of G are defined as EE(G) = ∑n i=1 e λi and E(G) = ∑n i=1 |λi|, respectively. Some new lower bounds for EE(G) are obtained in terms of E(G). We also prove that if G has m edges and t triangles, then EE(G) ≥ √ n2 + 2mn+ 2nt. The new lower bounds improve previous lower bound...

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The Estrada index was used to study the folding degree of proteins and other long-chain molecules [4, 5, 6, 9]. It also has numerous applications in the vast field of complex networks [7, 8, 13, 14, 17]. A number of properties especially lower and upper bounds [3, 10, 11, 12, 15, 16, 18, 19, 20] for the Estrada index are known. In this paper, we establish further lower bounds improving some res...

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عنوان ژورنال

دوره 1  شماره Issue 2 (Special Issue Dedicated to the Pioneering Role of Ivan Gutman In Mathematical Chemistry)

صفحات  67- 72

تاریخ انتشار 2010-04-01

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