21 citations · 103 across the 34 of their papers we have counts for
39 papers
Topological Symmetry Groups of the Petersen graphs
Deion Elzie, Samir Fridhi, Blake Mellor +2
The {\em topological symmetry group} of an embedding of an abstract graph in is the group of automorphisms of which can be realized by homeomorphisms of the pair…
Classifying links and spatial graphs with finite -quandles
Blake Mellor
The fundamental quandle is a complete invariant for unoriented tame knots \cite{JO, Ma} and non-split links \cite{FR}. The proof involves proving a relationship between the compone…
-quandles of spatial graphs
Veronica Backer Peral, Blake Mellor
The fundamental quandle is a powerful invariant of knots, links and spatial graphs, but it is often difficult to determine whether two quandles are isomorphic. One approach is to l…
N-quandles of links
Blake Mellor, Riley Smith
The fundamental quandle is a powerful invariant of knots and links, but it is difficult to describe in detail. It is often useful to look at quotients of the quandle, especially fi…
Finite involutory quandles of two-bridge links with an axis
Blake Mellor
To better understand the fundamental quandle of a knot or link, it can be useful to look at finite quotients of the quandle. One such quotient is the -quandle (or, when , t…
Invariants of Spatial Graphs
Blake Mellor
This is a short review article on invariants of spatial graphs, written for "A Concise Encyclopedia of Knot Theory" (ed. Adams et. al.). The emphasis is on combinatorial and polyno…