Valuative invariants on ma troid basis polytopes

Michael J. Falk; Joseph P.S. Kung

doi:10.1201/9780429161612-32

Valuative invariants on ma troid basis polytopes

Michael J. Falk, Joseph P.S. Kung

Mathematics and Statistics

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

Abstract

The Tutte polynomial is a valuative invariant on matroid basis polytopes. We give an introduction to such invariants, focusing on the g-invariant, which is the universal valuative invariant, and its relation to the Tutte polynomial. • Valuative functions on matroid base polytopes. • The g-invariant and its specialization to the Tutte polynomial.

Original language	English (US)
Title of host publication	Handbook of the Tutte Polynomial and Related Topics
Publisher	CRC Press
Pages	590-597
Number of pages	8
ISBN (Electronic)	9780429161612
ISBN (Print)	9781482240627
DOIs	https://doi.org/10.1201/9780429161612-32
State	Published - Jul 6 2022

ASJC Scopus subject areas

General Computer Science
General Mathematics

Access to Document

10.1201/9780429161612-32

Cite this

@inbook{934241c3c25247c68c3cfa339a3a9c50,

title = "Valuative invariants on ma troid basis polytopes",

abstract = "The Tutte polynomial is a valuative invariant on matroid basis polytopes. We give an introduction to such invariants, focusing on the g-invariant, which is the universal valuative invariant, and its relation to the Tutte polynomial. • Valuative functions on matroid base polytopes. • The g-invariant and its specialization to the Tutte polynomial.",

author = "Falk, {Michael J.} and Kung, {Joseph P.S.}",

year = "2022",

month = jul,

day = "6",

doi = "10.1201/9780429161612-32",

language = "English (US)",

isbn = "9781482240627",

pages = "590--597",

booktitle = "Handbook of the Tutte Polynomial and Related Topics",

publisher = "CRC Press",

}

TY - CHAP

T1 - Valuative invariants on ma troid basis polytopes

AU - Falk, Michael J.

AU - Kung, Joseph P.S.

PY - 2022/7/6

Y1 - 2022/7/6

N2 - The Tutte polynomial is a valuative invariant on matroid basis polytopes. We give an introduction to such invariants, focusing on the g-invariant, which is the universal valuative invariant, and its relation to the Tutte polynomial. • Valuative functions on matroid base polytopes. • The g-invariant and its specialization to the Tutte polynomial.

AB - The Tutte polynomial is a valuative invariant on matroid basis polytopes. We give an introduction to such invariants, focusing on the g-invariant, which is the universal valuative invariant, and its relation to the Tutte polynomial. • Valuative functions on matroid base polytopes. • The g-invariant and its specialization to the Tutte polynomial.

UR - http://www.scopus.com/inward/record.url?scp=85163010953&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85163010953&partnerID=8YFLogxK

U2 - 10.1201/9780429161612-32

DO - 10.1201/9780429161612-32

M3 - Chapter

AN - SCOPUS:85163010953

SN - 9781482240627

SP - 590

EP - 597

BT - Handbook of the Tutte Polynomial and Related Topics

PB - CRC Press

ER -

Valuative invariants on ma troid basis polytopes

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this