This article is cited in 2 papers

Regular homotopy for immersions of graphs into surfaces

D. A. Permyakov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We study invariants of regular immersions of graphs into surfaces up to regular homotopy. The concept of the winding number is used to introduce a new simple combinatorial invariant of regular homotopy.
Bibliography: 20 titles.

Keywords: winding number, immersion, graph, surface.

UDC: 515.162.6

MSC: 57M15

Received: 10.07.2015

DOI: 10.4213/sm8570

 English version: Sbornik: Mathematics, 2016, 207:6, 854–872

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