1. |
2. Mathematical aspects of fullerenesVesna Andova, František Kardoš, Riste Škrekovski, 2016, izvirni znanstveni članek Opis: Fullerene graphs are cubic, 3-connected, planar graphs with exactly 12 pentagonal faces, while all other faces are hexagons. Fullerene graphs are mathematical models of fullerene molecules, i.e., molecules comprised only by carbon atoms different than graphites and diamonds. We give a survey on fullerene graphs from our perspective, which could be also considered as an introduction to this topic. Different types of fullerene graphs are considered, their symmetries, and construction methods. We give an overview of some graph invariants that can possibly correlate with the fullerene molecule stability, such as: the bipartite edge frustration, the independence number, the saturation number, the number of perfect matchings, etc.
Ključne besede: fullerene, cubic graph, planar graph, topological indices
Objavljeno v RUP: 02.01.2022; Ogledov: 999; Prenosov: 18
 Celotno besedilo (626,25 KB) |
3. |
4. |
5. |
6. |
7. |
8. Quasi-semiregular automorphisms of cubic and tetravalent arc-transitive graphs : Group Action and Combinatorial Structures, Nankai University, Tianjin, China, 15. - 18. 6. 2018István Kovács, Yan-Quan Feng, Ademir Hujdurović, Klavdija Kutnar, Dragan Marušič, 2018, prispevek na konferenci brez natisa Ključne besede: quasi-semiregular automorphism, cubic graph, tetravalent graph, arc-transitive graph
Objavljeno v RUP: 06.12.2018; Ogledov: 2247; Prenosov: 135
 Povezava na celotno besedilo |
9. Odd extensions of transitive groups via symmetric graphs - The cubic caseKlavdija Kutnar, Dragan Marušič, 2018, izvirni znanstveni članek Opis: When dealing with symmetry properties of mathematical objects, one of the fundamental questions is to determine their full automorphism group. In this paper this question is considered in the context of even/odd permutations dichotomy. More precisely: when is it that the existence of automorphisms acting as even permutations on the vertex set of a graph, called even automorphisms, forces the existence of automorphisms that act as odd permutations, called odd automorphisms. As a first step towards resolving the above question, complete information on the existence of odd automorphisms in cubic symmetric graphs is given.
Ključne besede: automorphism group, arc-transitive, even permutation, odd permutation, cubic symmetric graph
Objavljeno v RUP: 18.11.2018; Ogledov: 2339; Prenosov: 200
Povezava na celotno besedilo |
10. Cubic symmetric graphs via odd automorphisms, 60th Birthday Lecture Series, Department of Mathematics, University of Auckland, New Zealand, 10 September 2015Klavdija Kutnar, 2015, predavanje na tuji univerzi Ključne besede: cubic graph, symmetric, automorphism, odd permutation
Objavljeno v RUP: 14.10.2015; Ogledov: 2800; Prenosov: 24
Povezava na celotno besedilo |
