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71.
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: 1385; Downloads: 86
.pdf Full text (379,60 KB)

72.
Hamilton cycles in primitive vertex-transitive graphs of order a product of two primes - the case PSL(2, q[sup]2) acting on cosets of PGL(2, q)
Shao Fei Du, Klavdija Kutnar, Dragan Marušič, 2020, original scientific article

Abstract: A step forward is made in a long standing Lovász problem regarding hamiltonicity of vertex-transitive graphs by showing that every connected vertex-transitive graph of order a product of two primes arising from the group action of the projective special linear group PSL▫$(2, q^2)$▫ on cosets of its subgroup isomorphic to the projective general linear group PGL$(2, q)$ contains a Hamilton cycle.
Keywords: vertex-transitive graph, Hamilton cycle, automorphism group, orbital graph
Published in RUP: 20.07.2020; Views: 1266; Downloads: 46
.pdf Full text (365,31 KB)

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Existence of non-Cayley Haar graphs
Yan-Quan Feng, István Kovács, Jie Wang, Da-Wei Yang, 2020, original scientific article

Keywords: graph, Cayley graph, Haar graph
Published in RUP: 17.06.2020; Views: 1198; Downloads: 98
URL Link to full text

77.
Fair packing of independent sets
Nina Chiarelli, Matjaž Krnc, Martin Milanič, Ulrich Pferschy, Nevena Pivač, Joachim Schauer, 2020, published scientific conference contribution

Keywords: fair division, conflict graph, partial coloring
Published in RUP: 03.06.2020; Views: 1599; Downloads: 118
URL Link to full text
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On the end-vertex problem
Jesse Beisegel, Carolin Denkert, Ekkehard Köhler, Matjaž Krnc, Nevena Pivač, Robert Scheffler, Martin Strehler, 2018, published scientific conference contribution abstract

Keywords: graph search, maximum cardinality search, maximal neighborhood search, graph classes
Published in RUP: 28.05.2020; Views: 1242; Downloads: 84
.pdf Full text (1,85 MB)
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