The Net Advance of Physics:
COMBINATORICS

COMBINATORICS:

• General: TEXTBOOKS:
  • Counting rocks!: An introduction to combinatorics by H. Adams et al. [2021/08] Undergraduate textbook, 220 pp.

• General:
  • The Complexity of Change by Jan van den Heuvel [2013/12]
  • The many faces of modern combinatorics by Cristian Lenart [2015/03]

• Type: ADDITIVE:
  • Additive Combinatorics: A Menu of Research Problems by Bela Bajnok [2017/05] 479 pp.

• Type: ALGEBRAIC:
  • Asymmetric Function Theory by Oliver Pechenik and Dominic Searles [2017/11]
  • A Survey of the Shi Arrangement by Susanna Fishel [2019/09]

• Aspects: CONSECUTIVE PATTERNS:
  • A survey of consecutive patterns in permutations by Sergi Elizalde [2015/04]

• Aspects: PARTITIONS:
  • The mathematics of lecture hall partitions by Carla D. Savage [2016/07]
  • An Introduction to Schur Polynomials by Amritanshu Prasad [2018/02]
  • Polyhedral Geometry for Lecture Hall Partitions by McCabe Olsen [2018/08]

• Aspects: PATH ENUMERATION:
  • Lattice Path Enumeration by Christian Krattenhaler [2015/03]

• Aspects: POSETS:
  • The cd-Index [of posets]: A Survey by Margaret M. Bayer [2018/04]

• Aspects: POSITIONAL GAMES:
  • Positional Games by Michael Krivelevich [2014/04]

• Aspects: QUASISYMMETRIC FUNCTIONS:
  • Recent Trends in Quasisymmetric Functions by Sarah K. Mason [2018/10]

• Aspects: RAMSEY THEORY:
  • Recent developments in graph Ramsey theory by David Conlon et al. [2015/01]

• Aspects: SIMPLICIAL COMPLEXES:
  • The amazing world of simplicial complexes by Oliver Knill [2018/04]

• Aspects: SQUARES:
  • Solved and unsolved problems about abelian squares by Jamie Simpson [2018/02]

• Aspects: STIRLING NUMBERS:
  • Close Encounters with the Stirling Numbers of the Second Kind by Khristo N. Boyadzhiev [Mathematics Magazine 85(4), 252 (2012)]

• Aspects: TVERBERG THEOREM:
  • Topological Tverberg Theorem: the proofs and the counterexamples by Senya Shlosman [2018/04]

• Re: COMPLEXITY:
  • Combinatorial Game Complexity: An Introduction with Poset Games by Stephen A. Fenner and John Rogers [2015/05]
  • Interactions of Computational Complexity Theory and Mathematics by Avi Wigderson [2017/10]
  • Tverberg's Theorem is 50 years old: a survey by Imre Bárány and Pablo Soberón [2017/12]
  • Complexity problems in enumerative combinatorics by Igor Pak [2018/03]

• Re: FINITE METRIC SPACES: Linial 2003/04;

• Re: PERTURBATIVE QUANTUM FIELD THEORY: Kreimer 2000/10;

• Re: POLYHEDRA/POLYTOPES:
  • A Brief Survey on Lattice Zonotopes by Benjamin Braun and Andrés R. Vindas-Meléndez [2018/08]
  • Polyhedral Geometry for Lecture Hall Partitions by McCabe Olsen [2018/08]

THE NET ADVANCE OF PHYSICS