Chromatic symmetric functions and combinatorial polynomials are central constructs in modern algebraic combinatorics, extending classical graph invariants into rich algebraic frameworks. Originating ...

Abstract: Given a Boolean function f, the f-isomorphism testing problem requires a randomized algorithm to distinguish functions that are identical to f up to relabeling of the input variables from ...

Pillai and Mijares [7] gave the exact expressions for the first four moments of the sum of s non-zero roots of a matrix occurring in multivariate normal analysis as studied independently by R. A.

In this paper, we generalize some results of Stein and Zygmund and of Evans and Larson concerning symmetric functions. In particular, we show that if f is Lebesgue measurable or has the Baire property ...

Abstract: Rotation symmetric bent functions and their generation two-rotation symmetric bent functions are two classes of cryptographically significant Boolean functions. However, few constructions ...

Due to a planned power outage on Friday, 1/14, between 8am-1pm PST, some services may be impacted. A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying ...

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It has demonstrated the powerful ability of a quantum computer to perform certain computational tasks more efficiently than a classical computer. Thus, to show quantum advantages is a key problem in ...