A refinement of the Conway-Gordon theorems

DOI10.1016/j.topol.2009.08.013zbMath1185.57003arXiv0907.0152OpenAlexW2020988043MaRDI QIDQ1032921

Ryo Nikkuni

Publication date: 5 November 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.0152

zbMATH Keywords

Arf invariantspatial graphAlexander-Conway polynomiallinking numbersConway-Gordon theoremrectalinear spatial graph

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)

Related Items

△Y-EXCHANGES AND THE CONWAY–GORDON THEOREMS ⋮ Linking number and writhe in random linear embeddings of graphs ⋮ Crossing numbers and rotation numbers of cycles in a plane immersed graph ⋮ Stick number of non-paneled knotless spatial graphs ⋮ Knotting and linking in the Petersen family ⋮ Recent developments in spatial graph theory ⋮ KNOTTED HAMILTONIAN CYCLES IN LINEAR EMBEDDING OF K₇ INTO ℝ³ ⋮ Reduced Wu and generalized Simon invariants for spatial graphs ⋮ PLANE CURVES IN AN IMMERSED GRAPH IN ℝ² ⋮ Generalization of the Conway-Gordon theorem and intrinsic linking on complete graphs ⋮ Generalizations of the Conway-Gordon theorems and intrinsic knotting on complete graphs ⋮ ON CONWAY–GORDON TYPE THEOREMS FOR GRAPHS IN THE PETERSEN FAMILY

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