Russian State University of Tourism and Service

output

20132022

most citedQuadrangular embeddings of complete graphs and the Even Map Color Theorem (with details)

10 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing math.COShow all

4 papers · 1 filter

math.CO2022★ 2 cited

Old and new geometric polyhedra with few vertices

Serge Lawrencenko, Alex Lao

This paper deals with triangulations of the 2-torus with the vertex labeled general octahedral graph $O_{4}$ which is isomorphic to the complete four-partite graph $K_{2, 2, 2, 2}$ ; it…

math.CO2016★ 10 cited

Quadrangular embeddings of complete graphs and the Even Map Color Theorem (with details)

Wenzhong Liu, Serge Lawrencenko, Beifang Chen +5

Hartsfield and Ringel constructed orientable quadrangular embeddings of the complete graph $K_{n}$ for $n \equiv 5 (mod 8)$ , and nonorientable ones for $n \geq 9$ and $n\equiv 1 \pmod…

math.CO2013

Homology of polyhedra and quadrangulations of surfaces

Serge Lawrencenko

A new formula is obtained in algebraic topology, in terms of Betti numbers, and a new method, called the spinal method, is suggested and developed for generating quadrangulations o…

math.CO2013

Irreducible triangulations of the Möbius band

María-José Chávez, Serge Lawrencenko, Antonio Quintero +1

A complete list of irreducible triangulations is identified on the Möbius band.