Open AccessAddressing the Feasibility of the Parameters of Strongly Regular Graphs with a MacLaurin Series Approach
Author(s) -
Vasco Moço Mano,
Luís Almeida Vieira
Publication year - 2022
Publication title -
international journal of computers
Language(s) - English
Resource type - Journals
ISSN - 1998-4308
DOI - 10.46300/9108.2022.16.10
Subject(s) - series (stratigraphy) , adjacency matrix , mathematics , frame (networking) , graph , euclidean geometry , adjacency list , construct (python library) , element (criminal law) , combinatorics , algebra over a field , computer science , pure mathematics , geometry , political science , paleontology , telecommunications , law , biology , programming language
In the environment of Euclidean Jordan algebras, we consider a Jordan frame associated to the adjacency matrix of a strongly regular graph and construct a MacLaurin series with an element of the frame. From this series we establish feasibility conditions for the existence of strongly regular graphs.