From matrix pivots to graphs in surfaces: exploring combinatorics through partial duals

Iain Moffatt

From matrix pivots to graphs in surfaces: exploring combinatorics through partial duals

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

100 Downloads (Pure)

Abstract

To what extent is a graph determined by the trees in it? What changes if we ask this question not for graphs in the abstract, but graphs that are embedded on surfaces? By considering these questions we will see how a collection of seemingly disjoint topics in mathematics are brought together through the idea of a partial dual.

Original language	English
Title of host publication	European Congress of Mathematics Portorož, 20–26 June
Publication status	Accepted/In press - 2 Oct 2021

Access to Document

Accepted ManuscriptAccepted author manuscript, 5.72 MB

Cite this

@inproceedings{36a89361d15a42348a8a02f98d228200,

title = "From matrix pivots to graphs in surfaces: exploring combinatorics through partial duals",

abstract = "To what extent is a graph determined by the trees in it? What changes if we ask this question not for graphs in the abstract, but graphs that are embedded on surfaces? By considering these questions we will see how a collection of seemingly disjoint topics in mathematics are brought together through the idea of a partial dual.",

author = "Iain Moffatt",

year = "2021",

month = oct,

day = "2",

language = "English",

booktitle = "European Congress of Mathematics Portoro{\v z}, 20–26 June",

}

TY - GEN

T1 - From matrix pivots to graphs in surfaces: exploring combinatorics through partial duals

AU - Moffatt, Iain

PY - 2021/10/2

Y1 - 2021/10/2

N2 - To what extent is a graph determined by the trees in it? What changes if we ask this question not for graphs in the abstract, but graphs that are embedded on surfaces? By considering these questions we will see how a collection of seemingly disjoint topics in mathematics are brought together through the idea of a partial dual.

AB - To what extent is a graph determined by the trees in it? What changes if we ask this question not for graphs in the abstract, but graphs that are embedded on surfaces? By considering these questions we will see how a collection of seemingly disjoint topics in mathematics are brought together through the idea of a partial dual.

M3 - Conference contribution

BT - European Congress of Mathematics Portorož, 20–26 June

ER -