The combinatorial structure of eventually nonnegative matrices.
Page 1
Naqvi, Sarah Carnochan, McDonald, Judith J. (2002)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Johnson, Charles R., Kroschel, Brenda K. (1996)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Kalogeropoulos, Grigoris I., Karageorgos, Athanasios D., Pantelous, Athanasios A. (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
De Terán, Fernando, Dopico, Froilán M. (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
A.J. Crisalli (1975)
Journal für die reine und angewandte Mathematik
Claus Michael Ringel (1975)
Mathematische Annalen
Lippert, Ross A., Strang, Gilbert (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Diaz, Alexander, Dunn, Corey (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Ching-Hsiang Hung, Thomas L. Markham (1975)
Czechoslovak Mathematical Journal
Devitt, J.S., Mollin, R.A. (1986)
International Journal of Mathematics and Mathematical Sciences
Paul M. Cohn (1973)
Mathematische Zeitschrift
R. B. Bapat, Sivaramakrishnan Sivasubramanian (2016)
Special Matrices
Let G = (V, E) be a connected graph with 2-connected blocks H1, H2, . . . , Hr. Motivated by the exponential distance matrix, Bapat and Sivasubramanian in [4] defined its product distance matrix DG and showed that det DG only depends on det DHi for 1 ≤ i ≤ r and not on the manner in which its blocks are connected. In this work, when distances are symmetric, we generalize this result to the Smith Normal Form of DG and give an explicit formula for the invariant factors of DG.
Const. N. Kourogenis (1969)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Ivana Jovović (2013)
Publications de l'Institut Mathématique
Horn, Roger A., Kittaneh, Fuad (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Bendoukha, Berrabah (2002)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Page 1