Published in European Journal of Combinatorics (accepted), 2022
Stability theorems for some Kruskal-Katona type results.
Recommended citation: Liu, Xizhi and Mukherjee, Sayan. "Stability theorems for some Kruskal-Katona type results." arXiv preprint arXiv:2006.04848 (2020).
Published in Conference on Learning Theory 2022, 2022
Tight query complexity bounds for learning graph partitions.
Recommended citation: Liu, Xizhi and Mukherjee, Sayan. "Tight query complexity bounds for learning graph partitions." arXiv preprint arXiv:2112.07897 (2021).
Published in IEEE Transactions on Quantum Engineering, 2022
We analyze the list coloring problem and demonstrate a fast quantum algorithm for it.
Recommended citation: Mukherjee, Sayan. "A Grover search-based algorithm for the list coloring problem." IEEE Transactions on Quantum Engineering Volume 3 (2022).
Published in Computer Graphics Forum; Pacific Graphics Conference 2021, 2021
Using neural networks to perform sequence transformation.
Recommended citation: Mukherjee, Sabyasachi; Mukherjee, Sayan; Hua, Binh-Son; Umetani, Nobuyuki and Meister, Daniel. "Neural Sequence Transformation." Computer Graphics Forum (Wiley), Volume 40, Issue 7, Pages 131-140 (2021).
Published in University of Illinois at Chicago, 2021
Ph.D. Thesis for Ph.D. in Mathematics defended at University of Illinois at Chicago.
Recommended citation: Mukherjee, Sayan. "Extremal Problems for Graphs and Hypergraphs." Thesis,Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago (2021).
Published in Journal of Combinatorics, 2021
Maximum subgraphs without hypergraph families.
Recommended citation: Mubayi, Dhruv and Mukherjee, Sayan. "Maximum H-free subgraphs." Journal of Combinatorics Volume 12 (2) Pages 185-214 (2021).
Published in arXiv Preprint, 2021
Turan numbers for hypergraph suspensions.
Recommended citation: Mukherjee, Sayan. "Turan Numbers of Hypergraph Suspensions of Even Cycles." arXiv preprint arXiv:2101.06743 (2021).
Published in Discrete Mathematics (conditionally accepted), 2020
Counting number of triangles in graphs forbidding suspensions of bipartite graphs.
Recommended citation: Mubayi, Dhruv, and Mukherjee, Sayan. "Triangles in graphs without bipartite suspensions." arXiv preprint arXiv:2004.11930 (2020).
Published in Sādhanā, 2019
Maximum subgraphs without hypergraph families.
Recommended citation: Mukherjee, Sayan; Ghosh, Debraj and De, Rajat K. "Expected return time to the initial state for biochemical systems with linear cyclic chains: unidirectional and bidirectional reactions." Sādhanā (Springer India) Volume 44, Issue 1, Pages 1-12 (2019).
Published in Journal of Classical Geometry, 2013
Neuberg Locus and its properties.
Recommended citation: Banerjee, Debdyuti and Mukherjee, Sayan. "Neuberg Locus And Its Properties." Journal of Classical Geometry, Volume 2 (26) (2013).