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11.
A unified view of inequalities for distance-regular graphs, part I
Arnold Neumaier, Safet Penjić, 2020, original scientific article

Keywords: distance-regular graph, diameter bound, linear constraint satisfaction problem
Published in RUP: 09.10.2020; Views: 1342; Downloads: 36
URL Link to full text

12.
On a certain class of 1-thin distance-regular graphs
Mark MacLean, Štefko Miklavič, 2020, original scientific article

Keywords: distance-regular graph, Terwilliger algebra, subconstituent algebra
Published in RUP: 20.07.2020; Views: 1455; Downloads: 86
.pdf Full text (379,60 KB)

13.
Qiao, Zhi, Koolen, Jack: A new characterization of the dual polar graphs. (English summary). - J. Combin. Theory Ser. B 135 (2019), 200-211
Safet Penjić, 2020, review, book review, critique

Keywords: Distance-regular graph, dual polar graph, Delsarte clique
Published in RUP: 15.04.2020; Views: 1460; Downloads: 13
URL Link to full text

14.
Bipartite distance-regular graphs and taut pairs of pseudo primitive idempotents
Mark MacLean, Štefko Miklavič, 2019, original scientific article

Keywords: distance-regular graph, pseudo primitive idempotent, taut pair
Published in RUP: 20.08.2019; Views: 1843; Downloads: 154
URL Link to full text

15.
O Terwilligerjevi algebri dvodelnih razdaljno-regularnih grafov : doktorska disertacija
Safet Penjić, 2019, doctoral dissertation

Keywords: bipartite distance-regular graph, Terwilliger algebra, subconstituent algebra, Q-polynomial property, equitable partition
Published in RUP: 04.06.2019; Views: 3308; Downloads: 31
URL Link to full text

16.
Mamart, Siwaporn: A group commutator involving the last distance matrix and dual distance matrix of a Q-polynomial distance-regular graph: the Hamming graph case. - Graphs Combin. 34 (2018), no. 4, 803--817
Safet Penjić, 2018, review, book review, critique

Keywords: distance-regular graph, Q-polynomial, distance matrix, dual distance matrix
Published in RUP: 21.01.2019; Views: 1512; Downloads: 15
URL Link to full text

17.
On bipartite Q-polynomial distance-regular graphs with diameter 9, 10, or 11
Štefko Miklavič, 2018, original scientific article

Keywords: bipartite distance-regular graph, Q-polynomial property, isomorphism
Published in RUP: 12.03.2018; Views: 3197; Downloads: 80
URL Link to full text

18.
An A-invariant subspace for bipartite distance-regular graphs with exactly two irreducible T-modules with endpoint 2, both thin
Mark MacLean, Štefko Miklavič, Safet Penjić, 2018, original scientific article

Keywords: distance-regular graph, Terwilliger algebra, subconstituent algebra, A-invariant subspace
Published in RUP: 02.03.2018; Views: 2160; Downloads: 85
URL Link to full text

19.
On 2-distance-balanced graphs
Boštjan Frelih, Štefko Miklavič, 2018, original scientific article

Keywords: n-distance-balanced graph, cartesian product, lexicographic product
Published in RUP: 07.02.2018; Views: 3156; Downloads: 119
.pdf Full text (289,62 KB)

20.
On maximal distances in a commuting graph
Gregor Dolinar, Bojan Kuzma, Polona Oblak, 2012, original scientific article

Abstract: It is shown that matrices over algebraically closed fields that are farthest apart in the commuting graph must be non-derogatory. Rank-one matrices and diagonalizable matrices are also characterized in terms of the commuting graph.
Keywords: matematika, linearna algebra, teorija grafov, komutirajoči grafi, matrična algebra, algebraično zaprt obseg, centralizator, razdalja v grafih, mathematics, linear algebra, graph theory, commuting graph, matrix algebra, algebraically closed field, centralizer, distance in graphs
Published in RUP: 03.04.2017; Views: 2298; Downloads: 256
URL Link to full text
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