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11.
Extremal edge-girth-regular graphs
Ajda Zavrtanik Drglin, Slobodan Filipovski, Robert Jajcay, Tom Raiman, 2021, original scientific article

Keywords: regular graph, girth, vertex-transitive graph
Published in RUP: 16.07.2021; Views: 979; Downloads: 27
URL Link to full text

12.
Vertex cover at distance on H-free graphs
Clément Jean Dallard, Mirza Krbezlija, Martin Milanič, 2021, published scientific conference contribution

Keywords: distance-k vertex cover, H-free graph, np-completeness, polynomial-time algorithm, dichotomy
Published in RUP: 16.07.2021; Views: 1260; Downloads: 30
URL Link to full text

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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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Lovász Hamiltonicity Problem
Klavdija Kutnar, Shao Fei Du, Dragan Marušič, 2019, published scientific conference contribution abstract (invited lecture)

Keywords: Lovász problem, Hamilton cycle, vertex-transitive graph
Published in RUP: 06.08.2019; Views: 1643; Downloads: 87
.pdf Full text (19,29 KB)
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20.
r-regular families of graph automorphisms
Robert Jajcay, Gareth A. Jones, 2019, original scientific article

Keywords: graph automorphism, permutation, vertex-transitive
Published in RUP: 30.07.2019; Views: 1052; Downloads: 232
URL Link to full text

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