1. The distance function on Coxeter-like graphs and self-dual codesMarko Orel, Draženka Višnjić, 2025, izvirni znanstveni članek Ključne besede: Coxeter graph, invertible symmetric matrices, binary field, rank, distance in graphs, alternate matrices, self-dual codes
Objavljeno v RUP: 30.05.2025; Ogledov: 115; Prenosov: 3
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2. The core of a vertex-transitive complementary prismMarko Orel, 2023, izvirni znanstveni članek Opis: The complementary prism ▫$\Gamma \overline{\Gamma}$▫ is obtained from the union of a graph ▫$\Gamma$▫ and its complement ▫$\overline{\Gamma}$▫ where each pair of identical vertices in ▫$\Gamma$▫ and ▫$\overline{\Gamma}$▫ is joined by an edge. It generalizes the Petersen graph, which is the complementary prism of the pentagon. The core of a vertex-transitive complementary prism is studied. In particular, it is shown that a vertex-transitive complementary prism ▫$\Gamma \overline{\Gamma}$▫ is a core, i.e. all its endomorphisms are automorphisms, whenever ▫$\Gamma$▫ is a core or its core is a complete graph.
Ključne besede: graph homomorphism, complementary prism, self-complementary graph, vertex-transitive graph, core
Objavljeno v RUP: 06.11.2023; Ogledov: 1592; Prenosov: 7
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3. 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, recenzija, prikaz knjige, kritika Ključne besede: Laplacian of a graph, positive definite matrices, weighted graphs
Objavljeno v RUP: 18.10.2021; Ogledov: 1606; Prenosov: 9
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7. 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, recenzija, prikaz knjige, kritika Ključne besede: preserver problems, matrices with nonnegative coefficients, isolation number
Objavljeno v RUP: 06.05.2021; Ogledov: 1527; Prenosov: 9
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8. Ahmia, Moussa(DZ-UJ-M); Belbachir, Hacène(DZ-BOUMM-RCL) p,q-analogue of a linear transformation preserving log-convexity. (English summary) Indian J. Pure Appl. Math. 49 (2018), no. 3, 549-557Marko Orel, 2019, recenzija, prikaz knjige, kritika Ključne besede: log-convex sequence, p-q-binomial coefficient, q-binomial coefficient
Objavljeno v RUP: 28.06.2019; Ogledov: 2992; Prenosov: 18
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