Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# Virus Graph and COVID-19 Pandemic: A Graph Theory Approach

Version 1 : Received: 27 April 2020 / Approved: 29 April 2020 / Online: 29 April 2020 (12:32:24 CEST)

How to cite: Bhapkar, H. R.; Mahalle, P.; Dhotre, P. . S. Virus Graph and COVID-19 Pandemic: A Graph Theory Approach. Preprints 2020, 2020040507. https://doi.org/10.20944/preprints202004.0507.v1 Bhapkar, H. R.; Mahalle, P.; Dhotre, P. . S. Virus Graph and COVID-19 Pandemic: A Graph Theory Approach. Preprints 2020, 2020040507. https://doi.org/10.20944/preprints202004.0507.v1

## Abstract

Graph theory plays significant role in every field of science as well as technology. Every situation can be articulated in terms of suitable graphs by using various approaches of graph theory. Considering the recent pandemic in the world and the precautions taken for prevention of the COVID 19, it is the most appropriate way to exercise the graph models with theoretical as well as practical aspects to control this epidemic. This paper defines the variable set, variable graphs and their types with respect to variable vertex sets and variable edge sets. Depending upon the nature of the pandemic, there are four types of Virus graphs. Virus graph I and III are not so perilous for all living beings. Although, Virus graphs II and IV are extremely hazardous for the harmony of the world. In view of different aspects for expand of pandemic, growth types of virus graphs are divided in 1-1, 1-P and 1-all growth types. The COVID19 initially was in Virus graph-I type, but presently it is in Virus graph-II types. We present the table involving the number of infected people after n days with respect to different values of P and growth rates with I0 = 100. Moreover, the country wise starting dates of stages of the virus graph-I and II are specified. The concept of cut sets is applicable for prevention of COVID19 and the whole world is using the same analogy.

## Keywords

virus graphs; COVID-19; pandemic; epidemic

## Subject

Computer Science and Mathematics, Computer Vision and Graphics

Comment 1
Commenter: Ganesh shivaji pise
The commenter has declared there is no conflict of interests.
Comment: Very nice idea to represent real-life problem in Mathematicaly . You have presented COVID- 19 by using Graph Theory. Over all Very nice work
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Comment 2
The commenter has declared there is no conflict of interests.
Comment: Virus graph and COVID19 graph are defined in astonishing ways. I like growth rates of any pandemic in terms of graph theory,
it seems that graph theory approach of COVID 19 is innovatively defined and presented related aspects Pvery nicely .
Excellent and innovative paper.
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Comment 3
Commenter: krishnamurthy Thakur
The commenter has declared there is no conflict of interests.
Comment: Having to represent an issue or a problem mathematically is closest in 7ndetsyandong the problem with variables. The graph is a visual representation of a mathematical understanding and that of a current, latest Covid problem. The research paper using graph theory for the latest problem is a useful research. Early adaptation and innovation of graph theory will give insightful understanding of the epidemic.
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