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2. Ramamurthy, Balaji; Bapat, Ravindra Bhalchandra; Goel, Shivani: Distance matrices perturbed by Laplacians. (English summary). - Appl. Math. 65 (2020), no. 5, 599-607.Marko Orel, 2021, review, book review, critique Keywords: Laplacian of a graph, positive definite matrices, weighted graphs Published in RUP: 18.10.2021; Views: 793; Downloads: 7 Link to full text |
3. Beasley, LeRoy B., Kang, Kyung-Tae, Song, Seok-Zun: Isolation numbers of integer matrices and their preservers. (English summary). - Bull. Korean Math. Soc. 57 (2020), no. 3, 535-545Marko Orel, 2021, review, book review, critique Keywords: preserver problems, matrices with nonnegative coefficients, isolation number Published in RUP: 06.05.2021; Views: 800; Downloads: 7 Link to full text |
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5. O ekstremnih grafih z dano stopnjo in premerom/ožino : doktorska disertacijaSlobodan Filipovski, 2018, doctoral dissertation Keywords: adjacency matrix, antipodal graphs, cages, excess, defect, Ramanujan graphs, selfrepeats, degree/diameter problem, spectrum, Moore graphs, asymptotic density, distance matrices, Bermond and Bollobas problem Published in RUP: 21.01.2019; Views: 2648; Downloads: 0 |
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9. Additive rank-one nonincreasing maps on Hermitian matrices over the field GF(2[sup]2)Marko Orel, Bojan Kuzma, 2009, original scientific article Abstract: A complete classification of additive rank-one nonincreasing maps on hermitian matrices over Galois field ▫$GF(2^2)$▫ is obtained. This field is special and was not covered in a previous paper. As a consequence, some known applications, like the classification of additive rank-additivity preserving maps, are extended to arbitrary fields. An application concerning the preservers of hermitian varieties is also presented. Keywords: mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois field, weak homomorphism of a graph Published in RUP: 03.04.2017; Views: 2528; Downloads: 87 Link to full text |
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