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Title: :  THE GRAPH THEORY IN MATHEMATICS-A STUDY
PaperId: :  20956
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 8 Issue 4 2022
DUI:    16.0415/IJARIIE-20956
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
NAGENDRAPPA.GDEPARTMENT OF MATHEMATICS GOVERNMENT FIRST GRADE COLLEGE KORATAGERE TUMKUR DIST KARNATAKA

Abstract

MATHEMATICS
GRAPH, THEORY, MATHEMATICS, SIMPLE GRAPH, DIRECTED GRAPH, EDGE, SOCIAL NETWORK.
A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense “related”. The objects of the graph correspond to vertices and the relations between them correspond to edges. A graph is depicted diagrammatically as a set of dots depicting vertices connected by lines or curves depicting edges. An edge E or ordered pair is a connection between two nodes u,v that is identified by unique pair (u,v). The pair (u,v) is ordered because (u,v) is not same as (v,u) in case of directed graph. The edge may have a weight or is set to one in case of unweighted graph. Undirected graph: A graph in which the direction of the edge is not defined. So if an edge exists between node ‘u’ and ‘v’, then there is a path from node ‘u’ to ‘v’ and vice versa. Connected graph: A graph is connected when there is a path between every pair of vertices. In a connected graph there is no unreachable node. Complete graph: A graph in which each pair of graph vertices is connected by an edge. In other words, every node ‘u’ is adjacent to every other node ‘v’ in graph ‘G’.A complete graph would have n(n-1)/2 edges. See below for proof. Biconnected graph: A connected graph which cannot be broken down into any further pieces by deletion of any vertex. It is a graph with no articulation point

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IJARIIE NAGENDRAPPA.G. "THE GRAPH THEORY IN MATHEMATICS-A STUDY" International Journal Of Advance Research And Innovative Ideas In Education Volume 8 Issue 4 2022 Page 2799-2806
MLA NAGENDRAPPA.G. "THE GRAPH THEORY IN MATHEMATICS-A STUDY." International Journal Of Advance Research And Innovative Ideas In Education 8.4(2022) : 2799-2806.
APA NAGENDRAPPA.G. (2022). THE GRAPH THEORY IN MATHEMATICS-A STUDY. International Journal Of Advance Research And Innovative Ideas In Education, 8(4), 2799-2806.
Chicago NAGENDRAPPA.G. "THE GRAPH THEORY IN MATHEMATICS-A STUDY." International Journal Of Advance Research And Innovative Ideas In Education 8, no. 4 (2022) : 2799-2806.
Oxford NAGENDRAPPA.G. 'THE GRAPH THEORY IN MATHEMATICS-A STUDY', International Journal Of Advance Research And Innovative Ideas In Education, vol. 8, no. 4, 2022, p. 2799-2806. Available from IJARIIE, https://ijariie.com/AdminUploadPdf/THE_GRAPH_THEORY_IN_MATHEMATICS_A_STUDY_ijariie20956.pdf (Accessed : ).
Harvard NAGENDRAPPA.G. (2022) 'THE GRAPH THEORY IN MATHEMATICS-A STUDY', International Journal Of Advance Research And Innovative Ideas In Education, 8(4), pp. 2799-2806IJARIIE [Online]. Available at: https://ijariie.com/AdminUploadPdf/THE_GRAPH_THEORY_IN_MATHEMATICS_A_STUDY_ijariie20956.pdf (Accessed : )
IEEE NAGENDRAPPA.G, "THE GRAPH THEORY IN MATHEMATICS-A STUDY," International Journal Of Advance Research And Innovative Ideas In Education, vol. 8, no. 4, pp. 2799-2806, Jul-Aug 2022. [Online]. Available: https://ijariie.com/AdminUploadPdf/THE_GRAPH_THEORY_IN_MATHEMATICS_A_STUDY_ijariie20956.pdf [Accessed : ].
Turabian NAGENDRAPPA.G. "THE GRAPH THEORY IN MATHEMATICS-A STUDY." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 8 number 4 ().
Vancouver NAGENDRAPPA.G. THE GRAPH THEORY IN MATHEMATICS-A STUDY. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2022 [Cited : ]; 8(4) : 2799-2806. Available from: https://ijariie.com/AdminUploadPdf/THE_GRAPH_THEORY_IN_MATHEMATICS_A_STUDY_ijariie20956.pdf
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