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20072023
most citedIntrinsically Linked Graphs in Projective Space

3 citations · 4 across the 11 of their papers we have counts for

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7 papers · 1 filter

math.GT2020

Classifying Intrinsically Linked Tournaments by Score Sequence

Thomas Fleming, Joel Foisy

A tournament on 8 or more vertices may be intrinsically linked as a directed graph. We begin the classification of intrinsically linked tournaments by examining their score sequenc…

math.GT2019

Intrinsic linking and knotting in tournaments

Thomas Fleming, Joel Foisy

A directed graph is if every embedding of that graph contains a non-split link , where each component of is a consistently oriented cycle…

math.GT2017

Intrinsically Knotted and 4-Linked Directed Graphs

Thomas Fleming, Joel Foisy

We consider intrinsic linking and knotting in the context of directed graphs. We construct an example of a directed graph that contains a consistently oriented knotted cycle in eve…

math.GT2008

Intrinsically triple-linked graphs in RP^3

Joel Foisy, Jared Federman, Kristin McNamara +1

Flapan--Naimi--Pommersheim showed that every spatial embedding of , the complete graph on ten vertices, contains a non-split three-component link; that is, is intr…

math.GT2008★ 3 cited

Intrinsically Linked Graphs in Projective Space

Joel Foisy, Jason Bustamante, Jared Federman +5

We examine graphs that contain a non-trivial link in every embedding into real projective space, using a weaker notion of unlink than was used by Flapan, et al. We call such graphs…

math.GT2008

Correction to ``Knotted Hamiltonian cycles in spatial embeddings of complete graphs"

Joel Foisy

We state and prove a correct version of a theorem presented in an earlier paper.