1. 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 Found in: osebi
Keywords: Laplacian of a graph, positive definite matrices, weighted graphs
Published: 18.10.2021; Views: 264; Downloads: 5
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2. Igra Craps - med mitom in realnostjo zlate rokeTilen Sabadin, 2021, master's thesis Found in: osebi
Keywords: igra Craps, martingali, čas ustavljanja, markovske verige, dolžina igre, prednost hiše, martingalov sistem, kontrola kock
Published: 18.10.2021; Views: 351; Downloads: 10
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3. Adjacency preservers, symmetric matrices, and coresMarko Orel, 2012, original scientific article Abstract: It is shown that the graph ▫$\Gamma_n$▫ that has the set of all ▫$n \times n$▫ symmetric matrices over a finite field as the vertex set, with two matrices being adjacent if and only if the rank of their difference equals one, is a core if ▫$n \ge 3$▫. Eigenvalues of the graph ▫$\Gamma_n$▫ are calculated as well.
Found in: osebi
Keywords: adjacency preserver, symmetric matrix, finite field, eigenvalue of a graph, coloring, quadratic form
Published: 15.10.2013; Views: 2433; Downloads: 136
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8. Verjetnost za nematematike. Pregled teorije in izbrane rešene nalogeMarko Orel, 2015, other educational material Found in: osebi
Keywords: elementarna verjetnost, diskretne slučajne spremenljivke, zvezne slučajne spremenljivke, porazdelitvena funkcija, kvantili, večrazsežna porazdelitev, robna porazdelitev, pričakovana vrednost, varianca, centralni limitni izrek
Published: 15.10.2015; Views: 2234; Downloads: 125
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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.
Found in: osebi
Keywords: mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois field, weak homomorphism of a graph
Published: 03.04.2017; Views: 1824; Downloads: 75
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10. On generalizations of the Petersen graph and the Coxeter graphMarko Orel, 2015, original scientific article Found in: osebi
Keywords: Petersenov graf, Coexerjev graf, hermitske matrike, simetrične matrike, Coexter graph, Petersen graph, Hermitian matrix, symmetric matrix
Published: 03.04.2017; Views: 1763; Downloads: 88
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