Article
Version 1
Preserved in Portico This version is not peer-reviewed
Notion of Valued Set
Version 1
: Received: 18 July 2021 / Approved: 19 July 2021 / Online: 19 July 2021 (12:41:02 CEST)
How to cite: Garrett, H. Notion of Valued Set. Preprints 2021, 2021070410. https://doi.org/10.20944/preprints202107.0410.v1 Garrett, H. Notion of Valued Set. Preprints 2021, 2021070410. https://doi.org/10.20944/preprints202107.0410.v1
Abstract
The aim of this article is to introduce the new notion on a given graph. The notions of valued set, valued function, valued graph and valued quotient are introduced. The attributes of these new notions are studied. Valued set is about the set of vertices which have the maximum number of neighbors. The kind of partition of the vertex set to the vertices of the valued set is introduced and its attributes are studied. The behaviors of classes of graphs under these new notions are studied and the algebraic operations on these sets in the different situations get new result to understand the classes of graphs, these notions and the general graphs better and more.
Keywords
Vertex’s Neighbors; Valued Set; Valued Function; Valued Quotient
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
