Abstract
In this chapter we recall the definition of an undirected wiring diagram and give a proof that the collection of undirected wiring diagrams forms an operad.
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S. Awodey, Category Theory, 2nd. ed., Oxford Logic Guides 52, Oxford Univ. Press, Oxford, 2010.
J.C. Baez and B. Fong, A compositional framework for passing linear networks, arXiv:1504.05625.
J.C. Baez, B. Fong, and B.S. Pollard, A compositional framework for Markov processes, J. Math. Phys. 57, No. 3, 033301, 30 p. (2016).
B. Fong, Decorated cospans, Theory Appl. Categ. 30 (2015), 1096–1120.
S. Mac Lane, Categories for the working mathematician, Grad. Texts in Math. 5, 2nd ed., Springer-Verlag, New York, 1998.
D.I. Spivak, The operad of wiring diagrams: formalizing a graphical language for databases, recursion, and plug-and-play circuits, arXiv:1305.0297.
D.I. Spivak, Category Theory for the Sciences, MIT Press, 2014.
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Yau, D. (2018). Undirected Wiring Diagrams. In: Operads of Wiring Diagrams. Lecture Notes in Mathematics, vol 2192. Springer, Cham. https://doi.org/10.1007/978-3-319-95001-3_7
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DOI: https://doi.org/10.1007/978-3-319-95001-3_7
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