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math.CO2023
Extremal bounds for pattern avoidance in multidimensional 0-1 matrices
Jesse Geneson, Shen-Fu Tsai
A 0-1 matrix contains another 0-1 matrix if some submatrix of can be turned into by changing any number of -entries to -entries. is -saturate…
cs.DM2023
Random processes for generating task-dependency graphs
Jesse Geneson, Shen-Fu Tsai
We investigate random processes for generating task-dependency graphs of order with edges and a specified number of initial vertices and terminal vertices. In order to do s…
cs.SI2023
Graphlet and Orbit Computation on Heterogeneous Graphs
Colin Cleveland, Chin-Yen Lee, Shen-Fu Tsai +2
Many applications, ranging from natural to social sciences, rely on graphlet analysis for the intuitive and meaningful characterization of networks employing micro-level structures…