Results 71 to 80 of about 197 (156)

Testing reliability and validity of practitioner‐rated parental sensitivity: A novel tool for practice

open access: yesInfant Mental Health Journal: Infancy and Early Childhood, Volume 45, Issue 2, Page 234-246, March 2024.
Abstract Improving parental sensitivity is an important objective of interventions to support families. This study examined reliability and validity of parental sensitivity ratings using a novel package of an e‐learning tool and an interactive decision tree provided through a mobile application, called the OK! package.
Mirte L. Forrer   +3 more
wiley   +1 more source

On the number of spanning trees, the Laplacian eigenvalues, and the Laplacian Estrada index of subdivided-line graphs

open access: yesOpen Mathematics, 2016
As a generalization of the Sierpiński-like graphs, the subdivided-line graph Г(G) of a simple connected graph G is defined to be the line graph of the barycentric subdivision of G.
Shang Yilun
doaj   +1 more source

The Sanskruti index of trees and unicyclic graphs

open access: yesOpen Chemistry, 2019
The Sanskruti index of a graph G is defined as S(G)=∑uv∈E(G)sG(u)sG(v)sG(u)+sG(v)−23,$$\begin{align*}S(G)=\sum_{uv\in{}E(G)}{\left(\frac{s_G(u)s_G(v)}{s_G(u)+s_G(v)-2}\right)}^3, \end{align*}$$where sG(u) is the sum of the degrees of the neighbors of a ...
Deng Fei   +6 more
doaj   +1 more source

A formula for all minors of the adjacency matrix and an application

open access: yesSpecial Matrices, 2014
We supply a combinatorial description of any minor of the adjacency matrix of a graph. This descriptionis then used to give a formula for the determinant and inverse of the adjacency matrix, A(G), of agraph G, whenever A(G) is invertible, where G is ...
Bapat R. B., Lal A. K., Pati S.
doaj   +1 more source

Computation of Augmented Zagreb Index and their Polynomial of Certain Class of Windmill Graphs

open access: yes, 2018
The augmented Zagreb index of a graph G=(V, E) is defined by In this paper, we compute the augmented Zagreb index and their polynomials of certain classes of windmill graphs like French windmill graph, Dutch windmill graph, Kulli cycle windmill graph ...
Diwakar, S. A., Chaluvaraju, B.
core  

On the Minimum Number of Spanning Trees in Cubic Multigraphs

open access: yesDiscussiones Mathematicae Graph Theory, 2020
Let G2n, H2n be two non-isomorphic connected cubic multigraphs of order 2n with parallel edges permitted but without loops. Let t(G2n), t (H2n) denote the number of spanning trees in G2n, H2n, respectively. We prove that for n ≥ 3 there is the unique G2n
Bogdanowicz Zbigniew R.
doaj   +1 more source

Random walks on infinite self-similar graphs

open access: yes, 2008
We introduce a class of rooted infinite self-similar graphs containing the well known Fibonacci graph and graphs associated with Pisot numbers. We consider directed random walks on these graphs and study their entropy and their limit measures.
J. Neunhäuserer
core  

On the multiplicative sum Zagreb index of molecular graphs

open access: yesOpen Mathematics
Multiplicative sum Zagreb index is a modified version of the famous Zagreb indices. For a graph GG, the multiplicative sum Zagreb index is defined as Π1*(G)=∏uv∈E(G)(dG(u)+dG(v)){\Pi }_{1}^{* }\left(G)={\prod }_{uv\in E\left(G)}\left({d}_{G}\left(u)+{d}_{
Sun Xiaoling, Du Jianwei, Mei Yinzhen
doaj   +1 more source

Note On The Game Colouring Number Of Powers Of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2016
We generalize the methods of Esperet and Zhu [6] providing an upper bound for the game colouring number of squares of graphs to obtain upper bounds for the game colouring number of m-th powers of graphs, m ≥ 3, which rely on the maximum degree and the ...
Andres Stephan Dominique, Theuser Andrea
doaj   +1 more source

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