A Comparison Between Edge Neighbor Rupture Degree and Edge Scattering Number in Graphs

2018 ◽  
Vol 29 (07) ◽  
pp. 1119-1142
Author(s):  
Ömür Kıvanç Kürkçü ◽  
Ersin Aslan
Keyword(s):  
Graph Operations ◽  
Edge Scattering ◽  
Vulnerability Measure

The vulnerability measure of a graph or a network depends on robustness of the remained graph, after being exposed to any intervention or attack. In this paper, we consider two edge vulnerability parameters that are the edge neighbor rupture degree and the edge scattering number. The values of these parameters of some specific graphs and their graph operations are calculated. Thus, we analyze and compare which parameter is distinctive for the different type of graphs by using tables.

On Hyper-Zagreb Index of Three Graph Operations

2019 ◽  
Vol 10 (2) ◽  
pp. 301-309
Author(s):  
A. Bharali ◽  
Amitav Doley
Keyword(s):  
Zagreb Index ◽  
Graph Operations

The Restricted Arc-Width of a Graph

10.37236/1734 ◽  
2003 ◽  
Vol 10 (1) ◽  
Author(s):  
David Arthur
Keyword(s):  
Unit Circle ◽  
Single Point ◽  
Minimum Width ◽  
Graph Operations ◽  
Function Mapping

An arc-representation of a graph is a function mapping each vertex in the graph to an arc on the unit circle in such a way that adjacent vertices are mapped to intersecting arcs. The width of such a representation is the maximum number of arcs passing through a single point. The arc-width of a graph is defined to be the minimum width over all of its arc-representations. We extend the work of Barát and Hajnal on this subject and develop a generalization we call restricted arc-width. Our main results revolve around using this to bound arc-width from below and to examine the effect of several graph operations on arc-width. In particular, we completely describe the effect of disjoint unions and wedge sums while providing tight bounds on the effect of cones.

scholarly journals Some graph operations in multiplicative Zagreb indices

2020 ◽  
Author(s):  
M. Radhakrishnan ◽  
M. Suresh ◽  
V. Mohana Selvi
Keyword(s):  
Zagreb Indices ◽  
Graph Operations

scholarly journals The convergence of racial and income disparities in health insurance coverage in the United States

2021 ◽  
Vol 20 (1) ◽  
Author(s):  
De-Chih Lee ◽  
Hailun Liang ◽  
Leiyu Shi
Keyword(s):  
Health Insurance ◽  
Low Income ◽  
Insurance Coverage ◽  
Health Insurance Coverage ◽  
The United States ◽  
Combined Effect ◽  
Medical Expenditure ◽  
The Us ◽  
Race Ethnicity ◽  
Vulnerability Measure

Abstract Objective This study applied the vulnerability framework and examined the combined effect of race and income on health insurance coverage in the US. Data source The household component of the US Medical Expenditure Panel Survey (MEPS-HC) of 2017 was used for the study. Study design Logistic regression models were used to estimate the associations between insurance coverage status and vulnerability measure, comparing insured with uninsured or insured for part of the year, insured for part of the year only, and uninsured only, respectively. Data collection/extraction methods We constructed a vulnerability measure that reflects the convergence of predisposing (race/ethnicity), enabling (income), and need (self-perceived health status) attributes of risk. Principal findings While income was a significant predictor of health insurance coverage (a difference of 6.1–7.2% between high- and low-income Americans), race/ethnicity was independently associated with lack of insurance. The combined effect of income and race on insurance coverage was devastating as low-income minorities with bad health had 68% less odds of being insured than high-income Whites with good health. Conclusion Results of the study could assist policymakers in targeting limited resources on subpopulations likely most in need of assistance for insurance coverage. Policymakers should target insurance coverage for the most vulnerable subpopulation, i.e., those who have low income and poor health as well as are racial/ethnic minorities.

Associated primes of powers of cover ideals under graph operations

2019 ◽  
Vol 47 (5) ◽  
pp. 1985-1996 ◽  
Author(s):  
Mehrdad Nasernejad ◽  
Kazem Khashyarmanesh ◽  
Ibrahim Al-Ayyoub
Keyword(s):  
Associated Primes ◽  
Graph Operations
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