9 citations · 43 across the 11 of their papers we have counts for
Showing 2006Show all
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math.CO2006★ 2 cited
Counting Links in Complete Graphs
Tom Fleming, Blake Mellor
We find the minimal number of links in an embedding of any complete -partite graph on 7 vertices (including , which has at least 21 links). We give either exact values or u…
math.GT2006★ 6 cited
An Introduction to Virtual Spatial Graph Theory
Thomas Fleming, Blake Mellor
Two natural generalizations of knot theory are the study of spatial graphs and virtual knots. Our goal is to unify these two approaches into the study of virtual spatial graphs. Th…
math.GT2006★ 9 cited
Intrinsic Linking and Knotting in Virtual Spatial Graphs
Thomas Fleming, Blake Mellor
We introduce a notion of intrinsic linking and knotting for virtual spatial graphs. Our theory gives two filtrations of the set of all graphs, allowing us to measure, in a sense, h…