1. |
2. A novel characterization of cubic Hamiltonian graphs via the associated quartic graphsSimona Bonvicini, Tomaž Pisanski, 2017, izvirni znanstveni članek Opis: We give a necessary and sufficient condition for a cubic graph to be Hamiltonian by analyzing Eulerian tours in certain spanning subgraphs of the quartic graph associated with the cubic graph by 1-factor contraction. This correspondence is most useful in the case when it induces a blue and red 2-factorization of the associated quartic graph. We use this condition to characterize the Hamiltonian ▫$I$▫-graphs, a further generalization of generalized Petersen graphs. The characterization of Hamiltonian ▫$I$▫-graphs follows from the fact that one can choose a 1-factor in any ▫$I$▫-graph in such a way that the corresponding associated quartic graph is a graph bundle having a cycle graph as base graph and a fiber and the fundamental factorization of graph bundles playing the role of blue and red factorization. The techniques that we develop allow us to represent Cayley multigraphs of degree 4, that are associated to abelian groups, as graph bundles. Moreover, we can find a family of connected cubic (multi)graphs that contains the family of connected ▫$I$▫-graphs as a subfamily. Ključne besede: generalized Petersen graphs, I-graphs, Hamiltonian cycles, Eulerian tours, Cayley multigraphs Objavljeno v RUP: 03.01.2022; Ogledov: 821; Prenosov: 16 Celotno besedilo (1,01 MB) |
3. |
4. |
5. |
6. Hitro prepoznavanje nekaterih parametričnih grafovskih družin : magistrsko deloNina Klobas, 2020, magistrsko delo Ključne besede: posplošeni Petersenovi grafi, I-grafi, dvojno posplošeni Petersenovi grafi, zložene kocke, algoritem prepoznavanja grafov, ciklična regularnost, generalized Petersen graphs, I-graphs, double generalized Peteren graphs, folded cubes, recognition algorithm, cycle regularity Objavljeno v RUP: 02.10.2020; Ogledov: 1471; Prenosov: 17 Povezava na celotno besedilo |
7. |
8. |
9. |
10. Predicting the success of an invader : niche shift versus niche conservatismStéphanie Sherpa, Maya Guéguen, Julien Renaud, Michael G. B. Blum, Thierry Gaude, Frédéric Laporte, Mustafa Akiner, Bulent Alten, Carles Aranda, Katja Kalan, 2019, izvirni znanstveni članek Ključne besede: Aedes albopistus, ecological niche modeling, generalized dissimilarity modeling, genotype- environment association, geometric morphometrics, niche conservatism, RAD sequencing, rapid adaptation Objavljeno v RUP: 11.02.2020; Ogledov: 1438; Prenosov: 135 Povezava na celotno besedilo Gradivo ima več datotek! Več... |