New sufficient conditions for integral complete 3-partite graphs
Author(s) -
Pavel Híc,
Milan Pokorný,
Pavol Cernek
Publication year - 2008
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm0802276h
Subject(s) - mathematics , adjacency matrix , eigenvalues and eigenvectors , integral graph , combinatorics , graph , discrete mathematics , construct (python library) , adjacency list , two graph , line graph , voltage graph , graph power , computer science , physics , quantum mechanics , programming language
A graph is integral if all the eigenvalues of its adjacency matrix are integers. In this paper we give sufficient conditions for complete 3-partite graphs to be integral, from which we construct infinitely many new classes of such integral graphs
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