@book(agresti2013categorical, author = "Alan Agresti", year = "2013", title = "Categorical data analysis", publisher = "Wiley", ) @inproceedings(babai1983canonical, author = "L{\'a}szl{\'o} Babai and Eugene M Luks", year = "1983", title = "Canonical labeling of graphs", booktitle = "Proceedings of the fifteenth annual ACM symposium on Theory of computing", organization = "ACM", pages = "171--183", doi = "10.1145/800061.808746", ) @book(bachmann2007singular, author = "Olaf Bachmann and Gert-Martin Greuel and C Lossen and Gerhard Pfister and Hans Sch{\"o}nemann", year = "2007", title = "A Singular introduction to commutative algebra", publisher = "Springer", ) @article(coecke2011interacting, author = "Bob Coecke and Ross Duncan", year = "2011", title = "Interacting quantum observables: categorical algebra and diagrammatics", journal = "New Journal of Physics", volume = "13", number = "4", pages = "043016", doi = "10.1145/800061.808746", ) @article(coecke2008new, author = "Bob Coecke and Dusko Pavlovic and Jamie Vicary", year = "2013", title = "A new description of orthogonal bases", journal = "Mathematical Structures in Computer Science", volume = "23", pages = "555--567", doi = "10.1017/S0960129512000047", ) @article(critch2012polynomial, author = "Andrew Critch and Jason Morton", year = "2014", title = "Algebraic geometry of matrix product states", journal = "SIGMA", volume = "10", pages = "095", doi = "10.3842/SIGMA.2014.095", ) @article(dixon2013open, author = "Lucas Dixon and Aleks Kissinger", year = "2013", title = "Open-graphs and monoidal theories", journal = "Mathematical Structures in Computer Science", volume = "23", number = "02", pages = "308--359", doi = "10.1017/S0960129512000138", ) @inproceedings(furer1983normal, author = "Martin F{\"u}rer and Walter Schnyder and Ernst Specker", year = "1983", title = "Normal forms for trivalent graphs and graphs of bounded valence", booktitle = "Proceedings of the fifteenth annual ACM symposium on Theory of computing", organization = "ACM", pages = "161--170", doi = "10.1145/800061.808745", ) @article(halin1976s, author = "Rudolf Halin", year = "1976", title = "S-functions for graphs", journal = "Journal of Geometry", volume = "8", number = "1-2", pages = "171--186", doi = "10.1007/BF01917434", ) @incollection(hasegawa2008finite, author = "Masahito Hasegawa and Martin Hofmann and Gordon Plotkin", year = "2008", title = "Finite dimensional vector spaces are complete for traced symmetric monoidal categories", booktitle = "Pillars of computer science", publisher = "Springer", pages = "367--385", doi = "10.1007/978-3-540-78127-1-20", ) @article(kelly1980coherence, author = "Gregory M Kelly and Miguel L Laplaza", year = "1980", title = "Coherence for compact closed categories", journal = "Journal of Pure and Applied Algebra", volume = "19", pages = "193--213", doi = "10.1016/0022-4049(80)90101-2", ) @article(kissinger2011quantomatic, author = "A. Kissinger and A. Merry and B. Frot and B. Coecke and D. Quick and L. Dixon and M. Soloviev and R. Duncan and V. Zamdzhiev", year = "2014", title = "Quantomatic", journal = "Software available on-line at http://sites. google. com/site/quantomatic/", ) @article(kissinger2012pictures, author = "Aleks Kissinger", year = "2012", title = "Pictures of Processes: Automated Graph Rewriting for Monoidal Categories and Applications to Quantum Computing", journal = "arXiv preprint arXiv:1203.0202", ) @article(kschischang2001factor, author = "Frank R Kschischang and Brendan J Frey and H-A Loeliger", year = "2001", title = "Factor graphs and the sum-product algorithm", journal = "Information Theory, IEEE Transactions on", volume = "47", number = "2", pages = "498--519", doi = "10.1109/18.910572", ) @book(maclane1998categories, author = "Saunders Mac Lane", year = "1998", title = "Categories for the working mathematician", volume = "5", publisher = "Springer verlag", ) @article(lauritzen1988local, author = "Steffen L Lauritzen and David J Spiegelhalter", year = "1988", title = "Local computations with probabilities on graphical structures and their application to expert systems", journal = "Journal of the Royal Statistical Society. Series B (Methodological)", pages = "157--224", ) @article(luks1982isomorphism, author = "Eugene M Luks", year = "1982", title = "Isomorphism of graphs of bounded valence can be tested in polynomial time", journal = "Journal of Computer and System Sciences", volume = "25", number = "1", pages = "42--65", doi = "10.1016/0022-0000(82)90009-5", ) @article(maneva2007new, author = "Elitza Maneva and Elchanan Mossel and Martin J Wainwright", year = "2007", title = "A new look at survey propagation and its generalizations", journal = "Journal of the ACM (JACM)", volume = "54", number = "4", pages = "17", doi = "10.1145/1255443.1255445", ) @article(markov2008simulating, author = "Igor L Markov and Yaoyun Shi", year = "2008", title = "Simulating quantum computation by contracting tensor networks", journal = "SIAM Journal on Computing", volume = "38", number = "3", pages = "963--981", doi = "10.1137/050644756", ) @article(mceliece1998turbo, author = "Robert J. McEliece and David J. C. MacKay and Jung-Fu Cheng", year = "1998", title = "Turbo decoding as an instance of {P}earl's “belief propagation” algorithm", journal = "Selected Areas in Communications, IEEE Journal on", volume = "16", number = "2", pages = "140--152", doi = "10.1109/49.661103", ) @article(mena2012trivalent, author = "Adria Alcala Mena", year = "2012", title = "Trivalent Graph isomorphism in polynomial time", journal = "arXiv preprint arXiv:1209.1040", ) @book(mezard2009information, author = "Marc Mezard and Andrea Montanari", year = "2009", title = "Information, physics, and computation", publisher = "Oxford University Press", doi = "10.1093/acprof:oso/9780198570837.001.0001", ) @misc(mimramtowards, author = "Samuel Mimram", year = "2014", title = "Towards 3-dimensional rewriting theory", howpublished = "\url {http://www.pps.univ-paris-diderot.fr/~smimram/docs/mimram_3drt.pdf}", ) @article(morton2012undecidability, author = "Jason Morton and Jacob Biamonte", year = "2012", title = "Undecidability in tensor network states", journal = "Physical Review A", volume = "86", number = "3", pages = "030301", doi = "10.1103/PhysRevA.86.030301", ) @article(morton2013generalized, author = "Jason Morton and Jacob Turner", year = "2015", title = "Generalized counting constraint satisfaction problems with determinantal circuits", journal = "Linear Algebra and its Applications", volume = "466", pages = "357 -- 381", doi = "10.1016/j.laa.2014.09.050", ) @inproceedings(pearl1982reverend, author = "Judea Pearl", year = "1982", title = "Reverend Bayes on inference engines: A distributed hierarchical approach", booktitle = "AAAI", pages = "133--136", ) @incollection(selinger2009survey, author = "P. Selinger", year = "2011", title = "A Survey of Graphical Languages for Monoidal Categories", editor = "Bob Coecke", booktitle = "New Structures for Physics", series = "Lecture Notes in Physics", volume = "813", publisher = "Springer Berlin Heidelberg", pages = "289--355", doi = "10.1007/978-3-642-12821-9\_4", ) @article(selinger2011finite, author = "Peter Selinger", year = "2011", title = "Finite dimensional Hilbert spaces are complete for dagger compact closed categories", journal = "Electronic Notes in Theoretical Computer Science", volume = "270", number = "1", pages = "113--119", doi = "10.1016/j.entcs.2011.01.010", ) @article(spivak2012functorial, author = "David I Spivak", year = "2012", title = "Functorial data migration", journal = "Information and Computation", volume = "217", pages = "31--51", doi = "10.1016/j.ic.2012.05.001", ) @article(PhysRevLett.69.2863, author = "Steven R. White", year = "1992", title = "Density matrix formulation for quantum renormalization groups", journal = "Phys. Rev. Lett.", volume = "69", pages = "2863--2866", doi = "10.1103/PhysRevLett.69.2863", )