Special Issue: Dedicated to 15th Anniversary of the Seminar “Knots and Representation Theory”; Guest Editors: V. O. Manturov, D. P. Ilyutko and I. M. NikonovNo Access

Framed 4-valent graph minor theory II: Special minors and new examples

Vassily Olegovich Manturov

Vassily Olegovich Manturov

Bauman Moscow State Technical Unversity, 2nd Baumanskaya St. 5/1, Moscow, 105005, Russia

Laboratory of Quantum Topology, Chelyabinsk State University, Brat’ev Kashirinykh Street 129, Chelyabinsk #454001, Russia

E-mail Address: vomanturov@yandex.ru

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https://doi.org/10.1142/S0218216515410047Cited by:2 (Source: Crossref)

Abstract

In the present paper, we proceed with the study of framed 4-graph minor theory initiated in [V. O. Manturov, Framed 4-valent graph minor theory I: Intoduction planarity criterion, arxiv: 1402.1564v1 [Math.Co]] and justify the planarity theorem for arbitrary framed 4-graphs; besides, we prove analogous results for embeddability in $ℝ P^{2}$ .

Keywords:

AMSC: 05C83, 57M25, 57M27

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