On region crossing change and incidence matrix

DOI10.1007/s11425-012-4403-1zbMath1260.57007arXiv1101.1129OpenAlexW1997533166MaRDI QIDQ1934447

Zhiyun Cheng, Hongzhu Gao

Publication date: 28 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1129

zbMATH Keywords

incidence matrixregion crossing change

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (16)

Lower bounds for the warping degree of a knot projection ⋮ A SHARP UPPER BOUND FOR REGION UNKNOTTING NUMBER OF TORUS KNOTS ⋮ Region crossing change on spatial-graph diagrams ⋮ Unnamed Item ⋮ Integral region choice problems on link diagrams ⋮ \(k\)-color region select game ⋮ The multi-region index of a knot ⋮ Ineffective sets and the region crossing change operation ⋮ Unknottability of spatial graphs by region crossing changes ⋮ Region crossing change on spatial theta-curves ⋮ Equivalence of edge bicolored graphs on surfaces ⋮ Link colorings and the Goeritz matrix ⋮ Unknotting operations on knots and links ⋮ When is region crossing change an unknotting operation? ⋮ Region crossing change, bicolored diagram and Arf invariant ⋮ Region crossing change on surfaces

Cites Work

• Region crossing change is an unknotting operation
• Unknotting operations involving trivial tangles
• On a certain move generating link-homology
• Theory and Application of Graphs

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