Back to paper list

Expositio paper exp-20260624-a60dbd

An introduction to matroid theory

Preprint

In this paper, we explore matroids, which generalize properties of linear independence of vectors and cycles in graphs. We investigate properties and operations on matroids, then we look at how we can represent matroids using matrices.

Selected public version
exp-20260624-a60dbdv1 Latest public version Public since June 24, 2026 Submitted June 24, 2026 0 saves
Main field
Main topics
Reading-list context
Current reading
Journal publication
Selected public version
Archive state
Public versions

Authors

Kaiser Travis Chan (Philippine Science High School - Main Campus in Diliman, Quezon City)

Abstract

In this paper, we explore matroids, which generalize properties of linear independence of vectors and cycles in graphs. We investigate properties and operations on matroids, then we look at how we can represent matroids using matrices.

Domains and classifications

Mathematics
Main field
Combinatorics Designs and configurations Combinatorial aspects of matroids and geometric lattices

Version history

Expositio keeps public paper versions together so readers can see the current PDF while still understanding how the record has changed.

exp-20260624-a60dbdv1

An introduction to matroid theory

Preprint
Uploaded Jun 24, 2026 326068 bytes Selected Latest
Cite this version
BibTeX Download
Chicago Download