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001			22355784
003			OSt
005			20260304172848.0
008			211211s2022 flu b 001 0 eng
010			_a 2021048725
020			_a9781482240627 (hbk.)
040			_aLBSOR/DLC _beng _erda _cJKRC _dDLC
082	0	0	_a511.5 _223 _bELL.J
245	0	0	_aHandbook of the Tutte polynomial and related topics / _ced by Joanna A. Ellis-Monaghan and Iain Moffatt.
250			_a1st.
260			_aBoca Raton : _bC&H/CRC Press, _c2022.
263			_a2203
300			_axix, 784 p. ; _c24 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
365			_b230.00 _cPound
504			_aIncludes bibliographical references and index.
505	0		_aGraph 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.
520			_a"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 published on the Tutte Polynomial. It consists of thirty-four chapters, written by experts in the field, that collectively offer a concise overview of the polynomial's many properties and applications. Features: Written in an accessible style for non-experts yet extensive enough for experts; Serves as a comprehensive and accessible introduction to the theory of graph polynomials for researchers in mathematics, physics, and computer science; Provides an extensive reference volume for the evaluations, theorems, and properties of the Tutte polynomial and related graph, matroid, and knot invariants; Offers broad coverage, touching on the wide range of applications of the Tutte polynomial and its various specializations"-- _cProvided by publisher.
650		0	_aTutte polynomial. _939712
650		0	_aGraph theory. _919923
650		0	_aPolynomials. _939714
650		0	_aInvariants. _939476
700	1		_aEllis-Monaghan, Joanna Anthony. _eeditor _939717
700	1		_aMoffatt, Iain. _eeditor _939718
776	0	8	_iOnline version: _tHandbook of the Tutte polynomial and related topics _bFirst edition. _dBoca Raton : CRC Press, Taylor & Francis Group, 2022 _z9780429161612 _w(DLC) 2021048726
906			_a7 _brip _corignew _d1 _eecip _f20 _gy-gencatlg
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999			_c614013 _d614013