MAXIMUM ZAGREB INDICES IN THE CLASS OF k-APEX TREES
نویسندگان
چکیده
منابع مشابه
Weighted Harary indices of apex trees and k-apex trees
If G is a connected graph, then HA(G) = ∑ u6=v(deg(u) + deg(v))/d(u, v) is the additively Harary index and HM (G) = ∑ u6=v deg(u) deg(v)/d(u, v) the multiplicatively Harary index of G. G is an apex tree if it contains a vertex x such that G − x is a tree and is a k-apex tree if k is the smallest integer for which there exists a k-set X ⊆ V (G) such that G − X is a tree. Upper and lower bounds o...
متن کاملMultiplicative Zagreb indices of k-trees
Let G be a graph with vetex set V (G) and edge set E(G). The first generalized multiplicative Zagreb index of G is ∏ 1,c(G) = ∏ v∈V (G) d(v) , for a real number c > 0, and the second multiplicative Zagreb index is ∏ 2(G) = ∏ uv∈E(G) d(u)d(v), where d(u), d(v) are the degrees of the vertices of u, v. The multiplicative Zagreb indices have been the focus of considerable research in computational ...
متن کاملSharp bounds of the Zagreb indices of k-trees
A bound on the values of independence polynomials at-1/k for k-degenerate graphs", Discrete Mathematics 2013 (To appear) Estes, Staton, Wei. " A bound on the values of independence polynomials at-1/k for k-degenerate graphs " Discrete Mathematics.
متن کاملMultiplicative Zagreb Indices of Trees
Let G be a graph with vertex set V (G) and edge set E(G) . The first and second multiplicative Zagreb indices of G are Π1 = ∏ x∈V (G) deg(x) 2 and Π2 = ∏ xy∈E(G) deg(x) deg(y) , respectively, where deg(v) is the degree of the vertex v . Let Tn be the set of trees with n vertices. We determine the elements of Tn , extremal w.r.t. Π1 and Π2 . AMS Mathematics Subject Classification (2000): 05C05, ...
متن کاملOn the Multiplicative Zagreb Indices of Bucket Recursive Trees
Bucket recursive trees are an interesting and natural generalization of ordinary recursive trees and have a connection to mathematical chemistry. In this paper, we give the lower and upper bounds for the moment generating function and moments of the multiplicative Zagreb indices in a randomly chosen bucket recursive tree of size $n$ with maximal bucket size $bgeq1$. Also, we consi...
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: Korean Journal of Mathematics
سال: 2015
ISSN: 1976-8605
DOI: 10.11568/kjm.2015.23.3.401