13 citations · 15 across the 9 of their papers we have counts for
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The Coboundary Quasi-Polynomials of Hyperplane Arrangements over Residually Finite Dedekind Domains
Masamichi Kuroda, Norihiro Nakashima, Shuhei Tsujie
The characteristic polynomial plays an important role in study of hyperplane arrangements. There are several refinements of the characteristic polynomial. One of them is the coboun…
The Characteristic Quasi-Polynomials of Hyperplane Arrangements over Residually Finite Dedekind Domains
Masamichi Kuroda, Shuhei Tsujie
Kamiya, Takemura, and Terao initiated the theory of the characteristic quasi-polynomial of an integral arrangement, which is a function counting the elements in the complement of t…
Chromatic Signed-Symmetric Functions of Signed Graphs
Masamichi Kuroda, Shuhei Tsujie
Stanley introduced the chromatic symmetric function of a simple graph, which is a generalization of a chromatic polynomial. This is expressed in terms of the integer points of the…
Unit Ball Graphs on Geodesic Spaces
Masamichi Kuroda, Shuhei Tsujie
Consider finitely many points in a geodesic space. If the distance of two points is less than a fixed threshold, then we regard these two points as "near". Connecting near points w…
Monomial generalized almost perfect nonlinear functions
Masamichi Kuroda
Generalized almost perfect nonlinear (GAPN) functions were defined to satisfy some generalizations of basic properties of almost perfect nonlinear (APN) functions for even characte…
A Generalization of APN Functions for Odd Characteristic
Masamichi Kuroda, Shuhei Tsujie
Almost perfect nonlinear (APN) functions on finite fields of characteristic two have been studied by many researchers. Such functions have useful properties and applications in cry…