[PDF][PDF] Sum of powers of the degrees of graphs: extremal results and bounds

A Ali, I Gutman, E Milovanovic… - MATCH Commun. Math …, 2018 - researchgate.net
For any real number α, the sum of the α-th powers of the degrees of a (molecular) graph G,
denoted by 0Rα (G), is known as the general zeroth–order Randic index as well as the …

[PDF][PDF] Super Edge-Connectivity and Zeroth-Order Randić Index

Z He, M Lu - Discussiones Mathematicae Graph Theory, 2020 - bibliotekanauki.pl
Define the zeroth-order Randić index as R^0(G)=∑_x∈V(G)1d_G(x), where d_G(x) denotes
the degree of the vertex x. In this paper, we present two sufficient conditions for graphs and …

Path Connectivity Assessment Based on Continuous Sniffing

K Liu, M Xu - … Academic Exchange Conference on Science and …, 2022 - ieeexplore.ieee.org
The connectivity of a graph is a fundamental property of a graph. Connectivity is a portrayal
of the degree of connectivity of a diagram. The level of connectivity of a graph is an important …

Super-Edge-Connectivity and Zeroth-Order Randić Index

ZH He, M Lu - Journal of the Operations Research Society of China, 2019 - Springer
Define the zeroth-order Randić index R^ 0 (G)= ∑ _ x ∈ V (G) 1 d_G (x) R 0 (G)=∑ x∈ V
(G) 1 d G (x), where d_G (x) d G (x) denotes the degree of the vertex x. In this paper, we …

Super Edge-connectivity and Zeroth-order General Randić Index for −1 ≤ α < 0

Z He, M Lu - Acta Mathematicae Applicatae Sinica, English Series, 2018 - Springer
Let G be a connected graph with order n, minimum degree δ= δ (G) and edge-connectivity
λ= λ (G). A graph G is maximally edge-connected if λ= δ, and super edge-connected if every …

[PDF][PDF] Sufficient conditions for graphs to be λ'-optimal

L GUO, X GUO - J Xiamen Univ Nat Sci, 2019 - core.ac.uk
设 G=(V, E) 是一个连通图. 边集 S E, 如果 GS 不连通且 GS 的每个连通分支至少有 2 个点,
则称 S 是一个限制性边割. 限制性边连通度 λ′(G) 就是 G 的最小限制性边割的基数 …