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Handbook of the Tutte polynomial and related topics /

"The Tutte Polynomial touches on nearly every area of combinatorics as well as many other fields, including statistical mechanics, coding theory, and DNA sequencing. It is one of the most studied graph polynomials. Handbook of the Tutte Polynomial and Related Topics is the first handbook publis...

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Bibliographic Details
Corporate Author: Taylor & Francis
Other Authors: Ellis-Monaghan, Joanna Anthony (Editor), Moffatt, Iain (Editor)
Format: eBook
Language:English
Published: Boca Raton : CRC Press, Taylor & Francis Group, 2022.
Edition:First edition.
Subjects:
Tutte polynomial.
Graph theory.
Polynomials.
Invariants.
Polynômes.
Graph theory
Invariants
Polynomials
Tutte polynomial
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Graph theory / Joanna A. Ellis-Monaghan, Iain Moffatt
  • The Tutte polynomial for graphs / Joanna A. Ellis-Monaghan, Iain Moffatt
  • Essential properties of the Tutte polynomial / Béla Bollobás, Oliver Riordan
  • Matroid theory / James Oxley
  • Tutte polynomial activities / Spencer Backman
  • Tutte uniqueness and Tutte equivalence / Joseph E. Bonin, Anna de Mier
  • Computational techniques / Criel Merino
  • Computational resources / David Pearce, Gordon F. Royle
  • The exact complexity of the Tutte polynomial / Tomer Kotek, Johann A. Makowsky
  • Approximating the Tutte polynomial / Magnus Bordewich
  • Foundations of the chromatic polynomial / Fengming Dong, Khee Meng Koh
  • Flows and colorings / Delia Garijo, Andrew Goodall, Jaroslav Nešetřil
  • Skein polynomials and the Tutte polynomial when x = y / Joanna A. Ellis-Monaghan, Iain Moffatt
  • The interlace polynomial and the Tutte-Martin polynomial / Robert Brijder, Hendrik Jan Hoogeboom
  • Network reliability / Jason I. Brown, Charles J. Colbourn
  • Codes / Thomas Britz, Peter J. Cameron
  • The chip-firing game and the sandpile model / Criel Merino
  • The Tutte polynomial and knot theory / Stephen Huggett
  • Quantum field theory connections / Adrian Tanasa
  • The Potts and random-cluster models / Geoffrey Grimmett
  • Where Tutte and Holant meet : a view from counting complexity / Jin-Yi Cai, Tyson Williams
  • Polynomials and graph homomorphisms / Delia Garijo, Andrew Goodall, Jaroslav Nešetřil, Guus Regts
  • Digraph analogues of the Tutte polynomial / Timothy Y. Chow
  • Multivariable, parameterized, and colored extensions of the Tutte polynomial / Lorenzo Traldi
  • Zeros of the Tutte polynomial / Bill Jackson
  • The U, V and W polynomials / Steven Noble
  • Topological extensions of the Tutte polynomial / Sergei Chmutov
  • The Tutte polynomial of matroid perspectives / Emeric Gioan
  • Hyperplane arrangements and the finite field method / Federico Ardila
  • Some algebraic structures related to the Tutte polynomial / Michael J. Falk, Joseph P.S. Kung
  • The Tutte polynomial of oriented matroids / Emeric Gioan
  • Valuative invariants on matroid basis polytopes / Michael J. Falk, Joseph P.S. Kung
  • Non-matroidal generalizations / Gary Gordon, Elizabeth McMahon
  • The history of Tutte-Whitney polynomials / Graham Farr.