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Intrinsically knotted
graphs with linklessly embeddable simple minors
Thomas W Mattman, Ramin Naimi, Andrei Pavelescu and Elena Pavelescu |
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Algebraic & Geometric Topology 24 (2024) 1203–1223
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Abstract |
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It has been an open question whether the deletion or contraction of an edge in an intrinsically knotted graph always yields an intrinsically linked graph. We present a new intrinsically knotted graph that shows the answer to both questions is no. |
Keywords
spatial graph, intrinsic knotting, intrinsic linking, Colin
de Verdière invariant
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Mathematical Subject Classification
Primary: 05C10
Secondary: 57M15, 57K10
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References |
Publication
Received: 18 May 2022
Accepted: 11 October 2022
Published: 12 April 2024
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Authors |
| Thomas W Mattman | |
| Department of Mathematics and
Statistics California State University at Chico Chico, CA United States |
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| http://tmattman.yourweb.csuchico.edu | |
| Ramin Naimi | |
| Department of Mathematics Occidental College Los Angeles, CA United States |
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| http://faculty.oxy.edu/rnaimi/ | |
| Andrei Pavelescu | |
| Mathematics and Statistics
Department University of South Alabama Mobile, AL United States |
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| http://apaveles.wixsite.com/scientist-site | |
| Elena Pavelescu | |
| Mathematics and Statistics
Department University of South Alabama Mobile, AL United States |
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| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
