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Welsh}, } @book{Ngu86, place={Cambridge}, series={Encyclopedia of Mathematics and its Applications}, title={Semimodular Functions}, DOI={10.1017/CBO9780511629563.013}, booktitle={Theory of Matroids}, author={Nguyen, Hien Q.}, editor={White, NeilEditor}, year={1986}, pages={272–297}, collection={Encyclopedia of Mathematics and its Applications}} @ARTICLE{ZY98, author={ {Zhen Zhang} and R. W. {Yeung}}, journal={IEEE Transactions on Information Theory}, title={On characterization of entropy function via information inequalities}, year={1998}, volume={44}, number={4}, pages={1440-1452}, keywords={entropy;functional analysis;set theory;random processes;entropy function;discrete random variables;joint entropy;conditional joint entropies;nondecreasing function;nonnegative function;conditional mutual information;Shannon's information measures;nonempty subsets;ground set;information-theoretic inequality;nontrivial outer bound;cone;Entropy;Random variables;Mutual information;Cramer-Rao bounds;Information theory;Councils}, doi={10.1109/18.681320}, ISSN={1557-9654}, month={July},} @misc{KY19, author = {{K{\"u}hne}, Lukas and {Yashfe}, Geva}, title = "{Representability of Matroids by c-Arrangements is Undecidable}", keywords = {Mathematics - Combinatorics, 05B35, 52B40, 14N20, 52C35, 20F10, 03D40}, year = 2019, month = dec, archivePrefix = {arXiv}, eprint = {1912.06123}, primaryClass = {math.CO}, adsurl = {https://ui.adsabs.harvard.edu/abs/2019arXiv191206123K}, adsnote = {Provided by the SAO/NASA Astrophysics Data System} }