Framed 4-valent graph minor theory II: Special minors and new examples-Reference-Cited by-同舟云学术

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

Published:2015-11 Issue:13 Volume:24 Page:1541004
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Manturov Vassily Olegovich¹²

Affiliation:

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

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

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 [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216515410047

Reference7 articles.

1. EMBEDDINGS OF *-GRAPHS INTO 2-SURFACES

2. Framed 4-graphs: Euler tours, Gauss circuits and rotating circuits

3. Graph minor theory

4. Доказательство гипотезы В. А. Васильева о планарности сингулярных зацеплений

5. Embeddings of Four-valent Framed Graphs into 2-surfaces

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