Distance between distance spectra of graphs. Issue 12 (2nd December 2017)

• Record Type: Journal Article
• Authors: Lin, Huiqiu; Li, Dan; Das, Kinkar Ch.
• Is Part Of: Linear & multilinear algebra. Volume 65:Issue 12(2017)
• Page Start: 2538
• Page End: 2550
• Publication Date: 2017-12-02
• Subjects: Distance spectra -- distance matrix -- cospectral -- distance -- 05C50; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2017.1278737
• Languages: English
• ISSNs: 0308-1087

Abstract

Abstract: Let be a connected graph with vertex set and edge set E ( G ). Let D ( G ) be the distance matrix of G and be its distance spectrum. The distance between distance spectra of G and is defined by Define the cospectrality of G by Let . In the paper, we obtain lower bounds on and for . Furthermore, we give an upper bound on .