Title
A lexicographic product for signed graphs
Abstract
A signed graph is a pair Gamma = (G, sigma), where G = (V (G),E (G)) is a graph and sigma : E (G) -> {+1, -1} is the sign function on the edges of G. The notion of composition (also known as lexicographic product) of two signed graphs Gamma and Lambda = (H, tau) already exists in literature, yet it fails to map balanced graphs onto balanced graphs. We improve the existing definition showing that our 'new' signature on the lexicographic product of G and H behaves well with respect to switching equivalence. Signed regularities and some spectral properties are also discussed.
Year
Venue
DocType
2019
AUSTRALASIAN JOURNAL OF COMBINATORICS
Journal
Volume
ISSN
Citations 
74
2202-3518
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Maurizio Brunetti101.01
Matteo Cavaleri202.03
Alfredo Donno3278.03