Abstract

Fuzzy autocatalytic set (FACS) is one of the branch from graph theory. This FACS is used to introduce the fuzziness on connectivity of a graph. The introduction of FACS has given more accurate concept in application according a real-life problem. In this paper, some properties on fuzzy autocatalytic set of a graph theory is presented. This result give a new insight of FACS which is then expand the development of Fuzzy autocatalytic set (FACS) in the future.

Highlights

  • Graph theory is one of mathematical disciplines

  • The problem is to find a walkthrough of the city, where islands can only be reached via bridges

  • An autocatalytic refers to a product or compounds used to speed up a chemical reaction known as catalyst

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Summary

Introduction

Graph theory is one of mathematical disciplines. It was first introduced by Swiss mathematician Leonhard Euler to solve the Seven Bridges of Knigsberg problem [1]. Graph is defined as the networks of points or nodes that are connected by links [2]. It can be described as a set of lines that used to connect to the set of points [4]. An irreducible graph is defined as strongly connected graphs. All strongly connected graphs are stated as irreducible, but not for a graph which consist only single vertex and no edges

Fuzzy Graph
Fuzzy Autocatalytic Set
Some Features on ACS and FACS
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