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41.
42.
On cyclic edge-connectivity of fullerenes
Klavdija Kutnar, Dragan Marušič, 2008, izvirni znanstveni članek

Opis: 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 ▫$F$▫.
Ključne besede: graph, fullerene graph, cyclic edge-connectivity, hamilton cycle, perfect matching
Objavljeno v RUP: 03.04.2017; Ogledov: 2041; Prenosov: 138
URL Povezava na celotno besedilo

43.
44.
Integral automorphisms of affine spaces over finite fields
István Kovács, Klavdija Kutnar, János Ruff, Tamás Szőnyi, 2015, objavljeni povzetek znanstvenega prispevka na konferenci

Ključne besede: finite field, affine space, integral distance, integral automorphism
Objavljeno v RUP: 08.08.2016; Ogledov: 2821; Prenosov: 80
URL Povezava na celotno besedilo

45.
On colour-preserving automorphisms of Cayley graphs
Klavdija Kutnar, Ademir Hujdurović, Edward Dobson, Dave Witte Morris, Joy Morris, 2016, objavljeni povzetek znanstvenega prispevka na konferenci

Ključne besede: Cayley graph, automorphism, group, colouring
Objavljeno v RUP: 08.08.2016; Ogledov: 2569; Prenosov: 87
URL Povezava na celotno besedilo

46.
Symmetry of graphs via even/odd automorphisms
Dragan Marušič, Klavdija Kutnar, 2016, objavljeni povzetek znanstvenega prispevka na konferenci (vabljeno predavanje)

Ključne besede: vertex-transitive, graph, odd automorphism, automorphism group
Objavljeno v RUP: 08.08.2016; Ogledov: 2085; Prenosov: 26
URL Povezava na celotno besedilo

47.
Odd automorphism in vertex-transitive graphs
Klavdija Kutnar, Ademir Hujdurović, Dragan Marušič, 2016, objavljeni povzetek znanstvenega prispevka na konferenci

Ključne besede: vertex-transitive, graph, odd automorphism, even-closed
Objavljeno v RUP: 08.08.2016; Ogledov: 2394; Prenosov: 14
URL Povezava na celotno besedilo

48.
49.
50.
Half-arc-transitive group actions with a small number of alternets
Klavdija Kutnar, 2015, objavljeni povzetek znanstvenega prispevka na konferenci

Ključne besede: automorphism group, half-arc-tranistive graph, alternet
Objavljeno v RUP: 15.10.2015; Ogledov: 2313; Prenosov: 28
URL Povezava na celotno besedilo

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