$\triangle Y$-exchanges and the Conway-Gordon theorems

Details $\triangle Y$-exchanges and the Conway-Gordon theorems $\triangle Y$-exchanges and the Conway-Gordon theorems

2011-04-05

arxiv.org/abs/1104.0828v3

Mathematics

Geometric Topology

12 pages, 5 figures

Scientific paper

Conway-Gordon proved that for every spatial complete graph on 6 vertices, the sum of the linking numbers over all of the constituent 2-component links is congruent to 1 modulo 2, and for every spatial complete graph on 7 vertices, the sum of the Arf invariants over all of the Hamiltonian knots is also congruent to 1 modulo 2. In this paper, we give a Conway-Gordon type theorem for any graph which is obtained from the complete graph on 6 or 7 vertices by a finite sequence of $\triangle Y$-exchanges.

Affiliated with

Also associated with

No associations

Rating

$\triangle Y$-exchanges and the Conway-Gordon theorems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $\triangle Y$-exchanges and the Conway-Gordon theorems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $\triangle Y$-exchanges and the Conway-Gordon theorems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-321316