25 citations · 83 across the 18 of their papers we have counts for
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math.GT2008★ 4 cited
On Virtual Crossing Number Estimates For Virtual Links
Denis Afanasiev, Vassily Manturov
We address the question of detecting minimal virtual diagrams with respect to the number of virtual crossings. This problem is closely connected to the problem of detecting the min…
math.GT2008★ 4 cited
Introduction to Graph-Link Theory
Denis P. Ilyutko, Vassily O. Manturov
The present paper is an introduction to a combinatorial theory arising as a natural generalisation of classical and virtual knot theory. There is a way to encode links by a class o…
math.CO2008
Embeddings of four-valent framed graphs into two-surfaces
Vassily Olegovich Manturov
We study the problem of finding the minimal (maximal) genus for a surface where a given four-valent graph with fixed opposite edge structure can be embedded into. We find several p…