2012/09/30 by Hiroka Hashimoto, HIROKA HASHIMOTO, Ryo Nikkuni +1
Mathematics · #Advanced Combinatorial Mathematics #Embedding #Finite Group Theory Research #Geometric and Algebraic Topology #Graph #Lift (data mining) #Modulo #Petersen graph #Square (algebra) #Type (biology) #math.GT #msc:57M15 #msc:57M25
paper · pdf · doi:10.1142/s021821651350048x
published as J. Knot Theory Ramifications 22 (2013), 1350048 · 13 pages, 5 figures. arXiv admin note: text overlap with arXiv:1104.0828
arxiv created 2013/07/11 · openalex publication_date 2013/07/11 · openalex created_date 2016/06/24 · arxiv updated 2020/05/19 · openalex updated_date 2026/08/05
For every spatial embedding of each graph in the Petersen family, it is known that the sum of the linking numbers over all of the constituent 2-component links is congruent to 1 modulo 2. In this paper, we give an integral lift of this formula in terms of the square of the linking number and the second coefficient of the Conway polynomial.