TY - GEN
T1 - The Capacity of Multidimensional Permutations with Restricted Movement
AU - Elimelech, Dor
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/6/1
Y1 - 2020/6/1
N2 - We study the multidimensional constrained systems of Zd -permutations with restricted movement. We show a correspondence between these restricted permutations and perfect matchings. We use the theory of perfect matchings to investigate several two-dimensional cases, for which we compute the exact capacity of the constrained system, and prove the existence of a polynomial-time algorithm for counting admissible patterns. We prove that the capacity of Zd-permutations restricted by a set with full affine dimension depends only on the size of the set. We use this result in order to compute the exact capacity for a class of two-dimensional constrained systems.
AB - We study the multidimensional constrained systems of Zd -permutations with restricted movement. We show a correspondence between these restricted permutations and perfect matchings. We use the theory of perfect matchings to investigate several two-dimensional cases, for which we compute the exact capacity of the constrained system, and prove the existence of a polynomial-time algorithm for counting admissible patterns. We prove that the capacity of Zd-permutations restricted by a set with full affine dimension depends only on the size of the set. We use this result in order to compute the exact capacity for a class of two-dimensional constrained systems.
UR - http://www.scopus.com/inward/record.url?scp=85090421637&partnerID=8YFLogxK
U2 - 10.1109/ISIT44484.2020.9174161
DO - 10.1109/ISIT44484.2020.9174161
M3 - Conference contribution
AN - SCOPUS:85090421637
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 120
EP - 125
BT - 2020 IEEE International Symposium on Information Theory, ISIT 2020 - Proceedings
PB - Institute of Electrical and Electronics Engineers
T2 - 2020 IEEE International Symposium on Information Theory, ISIT 2020
Y2 - 21 July 2020 through 26 July 2020
ER -