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41.
42.
Editorial
Štefko Miklavič, Primož Šparl, Klavdija Kutnar, Tomaž Pisanski, 2015, preface, afterword

Found in: osebi
Published: 15.10.2015; Views: 748; Downloads: 9
URL Full text (0,00 KB)

43.
Half-arc-transitive group actions with a small number of alternets
Klavdija Kutnar, 2015, published scientific conference contribution abstract

Found in: osebi
Keywords: automorphism group, half-arc-tranistive graph, alternet
Published: 15.10.2015; Views: 1028; Downloads: 9
URL Full text (0,00 KB)

44.
45.
46.
On cyclic edge-connectivity of fullerenes
Dragan Marušič, Klavdija Kutnar, 2008, original scientific article

Abstract: A graph is said to be cyclically ▫$k$▫-edge-connected, if at least ▫$k$▫ edges must be removed to disconnect it into two components, each containing a cycle. Such a set of ▫$k$▫ edges is called a cyclic-k-edge cutset and it is called a trivial cyclic-k-edge cutset if at least one of the resulting two components induces a single ▫$k$▫-cycle. It is known that fullerenes, that is, 3-connected cubic planar graphs all of whose faces are pentagons and hexagons, are cyclically 5-edge-connected. In this article it is shown that a fullerene ▫$F$▫ containing a nontrivial cyclic-5-edge cutset admits two antipodal pentacaps, that is, two antipodal pentagonal faces whose neighboring faces are also pentagonal. Moreover, it is shown that ▫$F$▫ has a Hamilton cycle, and as a consequence at least ▫$15 \cdot 2^{n/20-1/2}$▫ perfect matchings, where ▫$n$▫ is the order of ▫$F$▫.
Found in: osebi
Keywords: graph, fullerene graph, cyclic edge-connectivity, hamilton cycle, perfect matching
Published: 03.04.2017; Views: 706; Downloads: 83
URL Full text (0,00 KB)

47.
48.
Integral automorphisms of affine spaces over finite fields
István Kovács, Klavdija Kutnar, János Ruff, Tamás Szönyi, 2015, published scientific conference contribution abstract

Found in: osebi
Keywords: finite field, affine space, integral distance, integral automorphism
Published: 08.08.2016; Views: 1226; Downloads: 28
URL Full text (0,00 KB)

49.
On colour-preserving automorphisms of Cayley graphs
Klavdija Kutnar, Ademir Hujdurović, Edward Dobson, Dave Witte Morris, Joy Morris, 2016, published scientific conference contribution abstract

Found in: osebi
Keywords: Cayley graph, automorphism, group, colouring
Published: 08.08.2016; Views: 1017; Downloads: 52
URL Full text (0,00 KB)

50.
Symmetry of graphs via even/odd automorphisms
Dragan Marušič, Klavdija Kutnar, 2016, published scientific conference contribution abstract (invited lecture)

Found in: osebi
Keywords: vertex-transitive, graph, odd automorphism, automorphism group
Published: 08.08.2016; Views: 810; Downloads: 8
URL Full text (0,00 KB)

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