E. Krasko

most citedEnumeration of

r

-regular Maps on the Torus. Part I: Enumeration of Rooted and Sensed Maps

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2017

Enumeration of $r$ -regular Maps on the Torus. Part II: Enumeration of Unsensed Maps

Evgeniy Krasko, Alexander Omelchenko

The second part of the paper is devoted to enumeration of $r$ -regular toroidal maps up to all homeomorphisms of the torus (unsensed maps). We describe in detail the periodic orient…

math.CO2017★ 1 cited

Enumeration of $r$ -regular Maps on the Torus. Part I: Enumeration of Rooted and Sensed Maps

Evgeniy Krasko, Alexander Omelchenko

The work that consists of two parts is devoted to the problem of enumerating unrooted $r$ -regular maps on the torus up to all its symmetries. We begin with enumerating near- $r$ -reg…

math.CO2017

Enumeration of Labelled and Unlabelled Hamiltonian Cycles in Complete $k$ -partite Graphs

Evgeniy Krasko, Igor Labutin, Alexander Omelchenko

We enumerate labelled and unlabelled Hamiltonian cycles in complete $n$ -partite graphs $K_{d, d, \dots, d}$ having exactly $d$ vertices in each part (in other words, Turán graphs $T(…

Enumeration of r-regular Maps on the Torus. Part II: Enumeration of Unsensed Maps

Enumeration of r-regular Maps on the Torus. Part I: Enumeration of Rooted and Sensed Maps

Enumeration of Labelled and Unlabelled Hamiltonian Cycles in Complete k-partite Graphs

Enumeration of $r$ -regular Maps on the Torus. Part II: Enumeration of Unsensed Maps

Enumeration of $r$ -regular Maps on the Torus. Part I: Enumeration of Rooted and Sensed Maps

Enumeration of Labelled and Unlabelled Hamiltonian Cycles in Complete $k$ -partite Graphs