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1.
On quartic half-arc-transitive metacirculants
Dragan Marušič, Primož Šparl, 2008, original scientific article

Abstract: Following Alspach and Parsons, a metacirculant graph is a graph admitting a transitive group generated by two automorphisms ▫$\rho$▫ and ▫$\sigma$▫, where ▫$\rho$▫ is ▫$(m,n)$▫-semiregular for some integers ▫$m \ge 1$▫, ▫$n \ge 2▫$, and where ▫$\sigma$▫ normalizes ▫$\rho$▫, cyclically permuting the orbits of ▫$\rho$▫ in such a way that ▫$\sigma^m$▫ has at least one fixed vertex. A half-arc-transitive graph is a vertex- and edge- but not arc-transitive graph. In this article quartic half-arc-transitive metacirculants are explored and their connection to the so called tightly attached quartic half-arc-transitive graphs is explored. It is shown that there are three essentially different possibilities for a quartic half-arc-transitive metacirculant which is not tightly attached to exist. These graphs are extensively studied and some infinite families of such graphs are constructed.
Found in: ključnih besedah
Summary of found: ...Following Alspach and Parsons, a metacirculant graph is a graph admitting a transitive group...
Keywords: mathematics, graph theory, metacirculant graph, half-arc-transitive graph, tightly attached, automorphism group
Published: 15.10.2013; Views: 1701; Downloads: 63
URL Full text (0,00 KB)

2.
Algebraični aspekti teorije grafov
Ademir Hujdurović, 2013, doctoral dissertation

Found in: ključnih besedah
Summary of found: ...circulant, bicirculant, semiregular automorphism, vertex-transitive graph, half-arc-transitive graph, snark, Cayley graph, quasi m-Cayley graph,...
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: 10.07.2015; Views: 1571; Downloads: 4
URL Full text (0,00 KB)

3.
Half-arc-transitive group actions with a small number of alternets
Klavdija Kutnar, 2015, published scientific conference contribution abstract

Found in: ključnih besedah
Summary of found: ...automorphism group, half-arc-tranistive graph, alternet, ...
Keywords: automorphism group, half-arc-tranistive graph, alternet
Published: 15.10.2015; Views: 1029; Downloads: 9
URL Full text (0,00 KB)

4.
On structural results of tetravalent half-arc-transitive graphs
Primož Šparl, 2018, published scientific conference contribution abstract (invited lecture)

Found in: ključnih besedah
Summary of found: ... graph, half-arc-transitive, alternating cycle, radius...
Keywords: graph, half-arc-transitive, alternating cycle, radius
Published: 07.02.2018; Views: 492; Downloads: 13
URL Full text (0,00 KB)

5.
New structural results on tetravalent half-arc-transitive graphs
Alejandra Ramos Rivera, Primož Šparl, 2018, original scientific article

Found in: ključnih besedah
Keywords: half-arc-transitive, tetravalent, alternating cycle, alternating jump, quotient graph
Published: 17.09.2018; Views: 311; Downloads: 77
URL Full text (0,00 KB)

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