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- Aleksander Malnic, Roman Nedela, Martin Skoviera
- Eur. J. Comb.
- 2000

The problem of lifting graph automorphisms along covering projections is considered in a purely combinatorial setting Because of certain natural ap plications and greater generality graphs areâ€¦ (More)

- Roman Nedela, Martin Skoviera
- Journal of Graph Theory
- 1996

According to M. Gardner 9], a snark is a non-trivial cubic graph whose edges cannot be properly coloured by three colours. The problem of what`non-trivial' means is implicitly or explicitly presentâ€¦ (More)

- JÃ¡n KarabÃ¡s, Edita MÃ¡cajovÃ¡, Roman Nedela
- Eur. J. Comb.
- 2013

A snark is a cubic graph with no proper 3-edge-colouring. In 1996, Nedela and Å koviera proved the following theorem: LetG be a snark with an k-edge-cut, k â‰¥ 2, whose removal leaves twoâ€¦ (More)

- Roman Nedela, Martin Skoviera
- Eur. J. Comb.
- 1997

In the paper is developed a common generalization of two methods of construction of regular maps on surfaces. The first one produces graph covering projections that extend to coverings of regularâ€¦ (More)

Regular homomorphisms of oriented maps essentially arise from a factorization by a subgroup of automorphisms. This kind of map homomorphism is studied in detail, and generalized to the case when theâ€¦ (More)

- Alexander Mednykh, Roman Nedela
- J. Comb. Theory, Ser. B
- 2006

Let Ng(f) denote the number of rooted maps of genus g having f edges. Exact formula for Ng(f) is known for g = 0 (Tutte 1963), g = 1 (Arques 1987), g = 2, 3 (Bender and Canfield 1991). In the presentâ€¦ (More)

- Marston D. E. Conder, Roman Nedela
- J. Comb. Theory, Ser. B
- 2007

A graph Î“ is symmetric if its automorphism group acts transitively on the arcs of Î“, and s-regular if its automorphism group acts regularly on the set of s-arcs of Î“. Tutte (1947, 1959) showed thatâ€¦ (More)

- Roman Nedela, Martin Skoviera
- Eur. J. Comb.
- 2001

A map is a cell decomposition of a closed surface; it is regular if its automorphism group acts transitively on the flags, mutually incident vertex-edge-face triples. The main purpose of this paperâ€¦ (More)

- Ana Breda, Antonio Breda d'Azevedo, Roman Nedela
- Ars Comb.
- 2006

In this paper we compute the chirality group, the chirality index and the smallest regular coverings of the chiral toroidal maps. We also compute the greatest regular maps covered by chiral toroidalâ€¦ (More)

- Luigi Grasselli, Michele Mulazzani, Roman Nedela
- J. Comb. Theory, Ser. B
- 2000

As previously known, all 3-manifolds of genus 2 can be represented by edgecoloured graphs uniquely defined by 6-tuples of integers satisfying simple conditions. The present paper describes anâ€¦ (More)