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51.

Editorial
Klavdija Kutnar, Štefko Miklavič, Tomaž Pisanski, Primož Šparl, 2015, preface, editorial, afterword

Published in RUP: 15.10.2015; Views: 2074; Downloads: 24
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52.

Algebraični aspekti teorije grafov : doktorska disertacija
Ademir Hujdurović, 2013, doctoral dissertation

Keywords: circulant, bicirculant, semiregular automorphism, vertex-transitive graph, half-arc-transitive graph, snark, Cayley graph, quasi m-Cayley graph, generalized Cayley graph, I-regular action, regular cover of a graph, automorphism group
Published in RUP: 10.07.2015; Views: 3472; Downloads: 42
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53.

Fibonaccijeva števila in zlati rez v umetnosti : magistrsko delo
Katarina Biščak, 2013, master's thesis

Keywords: Fibonaccijeva števila, Fibonaccijevo zaporedje, posplošeno Fibonaccijevo zaporedje, zlati rez, geometrija, likovna umetnost, kiparstvo, arhitektura, glasba
Published in RUP: 10.07.2015; Views: 3893; Downloads: 72
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54.

A note on a geometric construction of large Cayley graps of given degree and diameter
György Kiss, István Kovács, Klavdija Kutnar, János Ruff, Primož Šparl, 2009, original scientific article

Abstract: An infinite series and some sporadic examples of large Cayley graphs with given degree and diameter are constructed. The graphs arise from arcs, caps and other objects of finite projective spaces.
Keywords: degree, diameter problem, Moore bound, finite projective spaces
Published in RUP: 15.10.2013; Views: 3348; Downloads: 69
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55.

A note on a geometric construction of large Cayley graps of given degree and diameter
György Kiss, István Kovács, Klavdija Kutnar, János Ruff, Primož Šparl, 2008, published scientific conference contribution abstract

Keywords: diameter-degree problem, Cayley graph, projective space
Published in RUP: 15.10.2013; Views: 3370; Downloads: 28
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56.

Distance-transitive graphs admit semiregular automorphisms
Klavdija Kutnar, Primož Šparl, 2010, original scientific article

Abstract: A distance-transitive graph is a graph in which for every two ordered pairs ofvertices ▫$(u,v)$▫ and ▫$(u',v')$▫ such that the distance between ▫$u$▫ and ▫$v$▫ is equal to the distance between ▫$u'$▫ and ▫$v'$▫ there exists an automorphism of the graph mapping ▫$u$▫ to ▫$u'$▫ and ▫$v$▫ to ▫$v'$▫. A semiregular element of a permutation group is anon-identity element having all cycles of equal length in its cycle decomposition. It is shown that every distance-transitive graph admits a semiregular automorphism.
Keywords: distance-transitive graph, vertex-transitive graph, semiregular automorphism, permutation group
Published in RUP: 15.10.2013; Views: 3379; Downloads: 98
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57.

Hamiltonian cycles in Cayley graphs whose order has few prime factors
Klavdija Kutnar, Dragan Marušič, D. W. Morris, Joy Morris, Primož Šparl, 2012, original scientific article

Abstract: We prove that if Cay▫$(G; S)$▫ is a connected Cayley graph with ▫$n$▫ vertices, and the prime factorization of ▫$n$▫ is very small, then Cay▫$(G; S)$▫ has a hamiltonian cycle. More precisely, if ▫$p$▫, ▫$q$▫, and ▫$r$▫ are distinct primes, then ▫$n$▫ can be of the form kp with ▫$24 \ne k < 32$▫, or of the form ▫$kpq$▫ with ▫$k \le 5$▫, or of the form ▫$pqr$▫, or of the form ▫$kp^2$▫ with ▫$k \le 4$▫, or of the form ▫$kp^3$▫ with ▫$k \le 2$▫.
Keywords: graph theory, Cayley graphs, hamiltonian cycles
Published in RUP: 15.10.2013; Views: 3523; Downloads: 120
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58.

Bled'11
Klavdija Kutnar, Primož Šparl, 2013, preface, editorial, afterword

Published in RUP: 15.10.2013; Views: 2408; Downloads: 65
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59.

Classification of cubic symmetric tetracirculants and pentacirculants
Boštjan Frelih, Klavdija Kutnar, 2013, original scientific article

Keywords: cubic graph, symmetric, semiregular automorphism, tetracirculant, pentacirculant
Published in RUP: 15.10.2013; Views: 3148; Downloads: 95
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60.

Cubic Cayley graphs and snarks
Klavdija Kutnar, Ademir Hujdurović, Dragan Marušič, 2012, published scientific conference contribution abstract (invited lecture)

Keywords: Cayley graph, snark, arc-transitive graph, Cayley map
Published in RUP: 15.10.2013; Views: 3004; Downloads: 82
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