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Title: "Meet A Member" column in MAA FOCUS (Newsmagazine of the Mathematical Association of America), Vol. 38, No. 1, February/March 2018, p. 20-21.
Interview with Stacey Hancock which discussed the project.  more » « less
Award ID(s):
1657553
PAR ID:
10063641
Author(s) / Creator(s):
Date Published:
Journal Name:
Focus (Mathematical Association of America. Online)
Volume:
38
Issue:
1
ISSN:
2161-704X
Page Range / eLocation ID:
20-21
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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    A unified approach to the determination of eigenvalues and eigenvectors of specific matrices associated with directed graphs is presented. Matrices studied include the new distance matrix, with natural extensions to the distance Laplacian and distance signless Laplacian, in addition to the new adjacency matrix, with natural extensions to the Laplacian and signless Laplacian. Various sums of Kronecker products of nonnegative matrices are introduced to model the Cartesian and lexicographic products of digraphs. The Jordan canonical form is applied extensively to the analysis of spectra and eigenvectors. The analysis shows that Cartesian products provide a method for building infinite families of transmission regular digraphs with few distinct distance eigenvalues. 
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