Combinatorics and Graph Theory (MMath)

MMath book lists:
00: General Mathematics *
01: History of Mathematics *
03: Logic and Set Theory *
05: Combinatorics and Graph Theory *
06: Order and Lattices
08: General Algebra *
11: Number Theory *
12: Field Theory
13: Commutative Algebra
14: Algebraic Geometry *
15: Linear Algebra *
16: Noncommutative Rings
17: Lie Algebras
18: Category Theory *
19: K-Theory
20: Group Theory *
22: Lie Groups *
26: Real Analysis *
28: Measure and Integration *
30: Complex Analysis *
31: Potential Theory
32: Several Complex Variables
33: Special Functions
34: Ordinary Differential Equations
35: Partial Differential Equations *
37: Dynamical Systems and Ergodic Theory
39: Difference Equations
40: Sequences and Series
41: Approximation Theory
42: Harmonic Analysis *
43: Abstract Harmonic Analysis
44: Integral Transforms
45: Integral Equations
46: Functional Analysis *
47: Operator Theory
49: Calculus of Variations and Optimal Control
51: Geometry *
52: Convex Geometry and Discrete Geometry
53: Differential Geometry *
54: General Topology *
55: Algebraic Topology *
57: Manifolds and Cell Complexes
58: Analysis on Manifolds *
60: Probability and Stochastic Processes *
62: Statistics and Statistical Learning *
65: Numerical Methods *
68: Theoretical Computer Science *
70: Classical Mechanics *
74: Mechanics of Deformable Solids
76: Fluid Dynamics
78: Electrodynamics
80: Thermal Physics
81: Quantum Physics *
82: Statistical Physics *
83: Relativity and Gravitation *
85: Astrophysics
86: Geophysics
90: Operational Research
91: Game Theory, Economics, Finance
92: Mathematical Biology
93: Control and Systems Theory
94: Information Theory and Communication *
97: Mathematics Education *

* indicates a significant topic in undergraduate mathematics

MSC2020 mathematics subject classifications:
https://mathscinet.ams.org/mathscinet...

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All Votes Add Books To This List

1	Concrete Mathematics: A Foundation for Computer Science by Ronald Graham 4.34 avg rating — 1,857 ratings score: 478, and 5 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
2	Generatingfunctionology by Herbert S. Wilf 4.60 avg rating — 67 ratings score: 457, and 5 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
3	Network Science by Albert-László Barabási (Goodreads Author) 4.38 avg rating — 176 ratings score: 370, and 4 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
4	The Probabilistic Method (Wiley Series in Discrete Mathematics and Optimization) by Noga Alon 4.58 avg rating — 50 ratings score: 353, and 4 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
5	Analytic Combinatorics by Philippe Flajolet 4.42 avg rating — 33 ratings score: 343, and 4 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
6	Cambridge Studies in Advanced Mathematics, Volume 49: Enumerative Combinatorics, Volume 1 by Richard P. Stanley 4.19 avg rating — 32 ratings score: 341, and 4 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
7	Algebraic Graph Theory (Graduate Texts in Mathematics Book 207) by Chris Godsil 4.38 avg rating — 21 ratings score: 340, and 4 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
7	Extremal Combinatorics: With Applications in Computer Science (Texts in Theoretical Computer Science. An EATCS Series) by Stasys Jukna 4.53 avg rating — 17 ratings score: 340, and 4 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
9	Principles and Techniques in Combinatorics by Chuan Chong Chen 4.61 avg rating — 33 ratings score: 339, and 4 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
10	Additive Combinatorics (Cambridge Studies in Advanced Mathematics, Series Number 105) by Terence Tao 4.53 avg rating — 19 ratings score: 331, and 4 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
11	Introduction to Graph Theory (Dover Books on Mathematics) by Richard J. Trudeau 4.09 avg rating — 603 ratings score: 296, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
12	Networks by M.E.J. Newman 4.23 avg rating — 205 ratings score: 295, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
13	Introduction to Graph Theory by Douglas B. West 3.98 avg rating — 177 ratings score: 294, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
14	Introduction to the Theory of Complex Systems by Stefan Thurner 4.37 avg rating — 46 ratings score: 245, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
15	Algebraic Graph Theory by Norman Biggs 4.31 avg rating — 13 ratings score: 236, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
16	Algorithmic Graph Theory by Alan Gibbons 4.17 avg rating — 6 ratings score: 231, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
17	Counting: The Art of Enumerative Combinatorics by George E. Martin 4.17 avg rating — 6 ratings score: 228, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
18	Classical Topology and Combinatorial Group Theory (Graduate Texts in Mathematics, 72) by John Stillwell 4.60 avg rating — 5 ratings score: 223, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
19	Graph Colouring and the Probabilistic Method by Michael Molloy 4.83 avg rating — 6 ratings score: 222, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
20	Enumerative Combinatorics by Richard P. Stanley 4.33 avg rating — 6 ratings score: 219, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
21	Graph Theory with Algorithms and its Applications: In Applied Science and Technology by Santanu Saha Ray 4.75 avg rating — 4 ratings score: 210, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
22	Probability on Trees and Networks (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 42) by Russell Lyons 4.40 avg rating — 5 ratings score: 205, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
23	Ramsey Theory on the Integers by Bruce M. Landman 4.25 avg rating — 4 ratings score: 202, and 3 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
24	Schaum's Outline of Discrete Mathematics (Schaum's Outline Series) by Seymour Lipschutz 3.81 avg rating — 156 ratings score: 192, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
25	Graph Theory (Graduate Texts in Mathematics, 173) by Reinhard Diestel 4.05 avg rating — 98 ratings score: 188, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
26	Mathematics for Computer Science by Eric Lehman 3.85 avg rating — 95 ratings score: 186, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
27	Introduction to Graph Theory by Robin J. Wilson 3.73 avg rating — 70 ratings score: 184, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
28	Modern Graph Theory (Graduate Texts in Mathematics, 184) by Béla Bollobás 3.90 avg rating — 58 ratings score: 182, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
29	Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory by Miklos Bona 4.21 avg rating — 57 ratings score: 178, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
30	A First Course in Graph Theory (Dover Books on Mathematics) by Gary Chartrand 4.19 avg rating — 54 ratings score: 176, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
31	Combinatorics: A Very Short Introduction by Robin J. Wilson 3.77 avg rating — 75 ratings score: 172, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
32	Graph Theory and Its Applications, Third Edition (Textbooks in Mathematics) by Jonathan L. Gross 4.15 avg rating — 40 ratings score: 170, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
33	Combinatorics and Graph Theory by John M. Harris 3.72 avg rating — 40 ratings score: 168, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
34	Graph Theory (Graduate Texts in Mathematics, 244) by Adrian Bondy 4.12 avg rating — 41 ratings score: 166, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
35	Combinatorics: Topics, Techniques, Algorithms by Peter J. Cameron 3.97 avg rating — 30 ratings score: 164, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
36	Discrete Mathematics: Introduction to Mathematical Reasoning by Susanna S. Epp 4.14 avg rating — 35 ratings score: 160, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
37	Cambridge Studies in Advanced Mathematics, Volume 62: Enumerative Combinatorics, Volume 2 by Richard P. Stanley 4.08 avg rating — 12 ratings score: 148, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
38	Spectral Graph Theory (CBMS Regional Conference Series in Mathematics, No. 92) by Fan Chung 3.85 avg rating — 13 ratings score: 146, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
39	The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of its Creators by Branko Grünbaum (Foreword) 4.33 avg rating — 12 ratings score: 142, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
40	Random Graphs (Cambridge Studies in Advanced Mathematics, Series Number 73) by Béla Bollobás 3.78 avg rating — 9 ratings score: 140, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
41	Graphs, Networks and Algorithms (Algorithms and Computation in Mathematics, 5) by Dieter Jungnickel 3.80 avg rating — 10 ratings score: 136, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
42	Ramsey Theory (Wiley Series in Discrete Mathematics and Optimization) by Ronald L. Graham 3.88 avg rating — 8 ratings score: 130, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
43	Invitation to Ergodic Theory (Student Mathematical Library, 42) by C.E. Silva 4.20 avg rating — 5 ratings score: 124, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
44	Percolation by Béla Bollobás 3.86 avg rating — 7 ratings score: 120, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
45	Spectra of Graphs by Andries E. Brouwer 4.20 avg rating — 5 ratings score: 118, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
46	Algebraic Combinatorics: Walks, Trees, Tableaux, and More by Richard P. Stanley 4.25 avg rating — 4 ratings score: 116, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
47	An Introduction to Ergodic Theory (Graduate Texts in Mathematics, 79) by Peter Walters 4.44 avg rating — 9 ratings score: 114, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
48	Percolation (Grundlehren der mathematischen Wissenschaften, 321) by Geoffrey R. Grimmett 3.75 avg rating — 8 ratings score: 110, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
49	Topics in Topological Graph Theory (Encyclopedia of Mathematics and its Applications, Series Number 128) by Lowell W. Beineke (Editor) 4.25 avg rating — 4 ratings score: 108, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
50	Probability on Graphs: Random Processes on Graphs and Lattices (Institute of Mathematical Statistics Textbooks Book 8) by Geoffrey R. Grimmett 3.88 avg rating — 8 ratings score: 104, and 2 people voted	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars