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1.
Rose window graphs underlying rotary maps
István Kovács, Klavdija Kutnar, János Ruff, 2010, published scientific conference contribution

Abstract: Given natural numbers ▫$n \ge 3$▫ and ▫$1 \le a$▫, ▫$r \le n-1$▫, the rose window graph ▫$R_n(a,r)$▫ is a quartic graph with vertex set ▫$\{x_i \vert\; i \in {\mathbb Z}_n \} \cup \{y_i \vert\; i \in {\mathbb Z}_n \}$▫ and edge set ▫$\{\{x_i, x_{i+1}\} \vert\; i \in {\mathbb Z}_n \} \cup \{\{y_i, y_{i+1}\} \vert\; i \in {\mathbb Z}_n \} \cup \{\{x_i, y_i\} \vert\; i \in {\mathbb Z}_n\} \cup \{\{x_{i+a}, y_i\} \vert\; i \in {\mathbb Z}_n \}$▫. In this paper rotary maps on rose window graphs are considered. In particular, we answer the question posed in [S. Wilson, Rose window graphs, Ars Math. Contemp. 1 (2008), 7-19. http://amc.imfm.si/index.php/amc/issue/view/5] concerning which of these graphs underlie a rotary map.
Found in: osebi
Keywords: graph theory, rotary map, edge-transitive graph, covering graph, voltage graph
Published: 15.10.2013; Views: 1614; Downloads: 51
URL Full text (0,00 KB)

2.
Semiovals contained in the union of three concurrent lines
Aart Blokhuis, György Kiss, István Kovács, Aleksander Malnič, Dragan Marušič, János Ruff, 2007, original scientific article

Abstract: Semiovals which are contained in the union of three concurrent lines are studied. The notion of a strong semioval is introduced, and a complete classification of these objects in PG▫$(2,p)$▫ and PG▫$(2,p^2)$▫, ▫$p$▫ an odd prime, is given.
Found in: osebi
Keywords: mathematics, semioval, group factorization
Published: 15.10.2013; Views: 1314; Downloads: 63
URL Full text (0,00 KB)

3.
A note on a geometric construction of large Cayley graps of given degree and diameter
György Kiss, István Kovács, Klavdija Kutnar, János Ruff, Primož Šparl, 2008, published scientific conference contribution abstract

Found in: osebi
Keywords: diameter-degree problem, Cayley graph, projective space
Published: 15.10.2013; Views: 1788; Downloads: 12
URL Full text (0,00 KB)

4.
A note on a geometric construction of large Cayley graps of given degree and diameter
György Kiss, István Kovács, Klavdija Kutnar, János Ruff, Primož Šparl, 2009, original scientific article

Abstract: An infinite series and some sporadic examples of large Cayley graphs with given degree and diameter are constructed. The graphs arise from arcs, caps and other objects of finite projective spaces.
Found in: osebi
Keywords: degree, diameter problem, Moore bound, finite projective spaces
Published: 15.10.2013; Views: 1671; Downloads: 24
URL Full text (0,00 KB)
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5.
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: 1254; Downloads: 30
URL Full text (0,00 KB)

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