56 citations · 216 across the 26 of their papers we have counts for
29 papers
Duality and minors for embeddings of graphs in pseudosurfaces
Blake Dunshee, M. N. Ellingham, Joanna A. Ellis-Monaghan
Cellular embeddings of graphs in surfaces have well-defined duality and minor (edge contraction and deletion) operations that interact in a natural way. A pseudosurface is obtained…
A formal framework for higher-order spin models via hypergraphs, polymatroids, and the Tutte polynomial
Khallil Berrekkal, Joanna A. Ellis-Monaghan, Merijn Moody +1
We develop a rigorous mathematical framework for statistical mechanics models on hypergraphs, and give conditions for lifting the classical connection between Potts model partition…
A Hypergraph Tutte Polynomial
Khallil Berrekkal, Joanna A. Ellis-Monaghan, Merijn Moody
We introduce a Tutte polynomial for hypergraphs, , together with , a related Tutte polynomial for -polymatroids. Both invariants admit deletion--contractio…
Polynomial invariants of cyclically ordered graphs
Paul Bratch, M. N. Ellingham, Joanna A. Ellis-Monaghan +2
Cyclically ordered graphs, or cogs, sit between abstract graphs and cellularly embedded graphs. They arise naturally in topological graph theory, knot theory, and mathematical biol…
Thistlethwaite Theorems for Knotoids and Linkoids
Sergei Chmutov, Qingying Deng, Joanna A. Ellis-Monaghan +2
The classical Thistlethwaite theorem for links can be phrased as asserting that the Kauffman bracket of a link can be obtained from an evaluation of the Bollobás-Riordan polynomial…
Maximum genus embeddings of dense eulerian graphs with specified faces
M. N. Ellingham, Joanna A. Ellis-Monaghan
We give a density condition for when, subject to a necessary parity condition, an eulerian graph or digraph may be cellularly embedded in an orientable surface so that it has exact…