Open AccessOn Characteristic Polynomial of Antiadjacency Matrix of A Line Digraph
Author(s) -
Muhammad Irfan Arsyad Prayitno,
Kiki Ariyanti Sugeng
Publication year - 2022
Publication title -
jurnal matematika unand/jurnal matematika unand
Language(s) - English
Resource type - Journals
eISSN - 2721-9410
pISSN - 2303-291X
DOI - 10.25077/jmu.11.1.74-81.2022
Subject(s) - digraph , characteristic polynomial , adjacency matrix , combinatorics , line (geometry) , mathematics , polynomial , matrix (chemical analysis) , connection (principal bundle) , matrix polynomial , minimal polynomial (linear algebra) , discrete mathematics , polynomial matrix , graph , chemistry , mathematical analysis , geometry , chromatography
In this paper, we find the characteristic polynomial of the antiadjacency matrix of a line digraph. There are recent studies on the relation between the characteristic polynomial of the adjacency matrix and its line digraph, we are also interested in finding the connection between the antiadjacency matrix of a digraph and its line digraph. In this paper, we show the connection of characteristic polynomial of the antiadjacency matrix between an acyclic digraph and its line digraph.