Chromatic symmetric functions and combinatorial polynomials are central constructs in modern algebraic combinatorics, extending classical graph invariants into rich algebraic frameworks. Originating ...
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about ...
This paper provides proof of conjectures about the expected values of the jth elementary symmetric function of the roots (i.e. $E(\operatorname{tr}_j A)$) of a non ...
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about ...
Transactions of the American Mathematical Society, Vol. 357, No. 6 (Jun., 2005), pp. 2353-2377 (25 pages) The calculation of crystal structure from X-ray diffraction data requires that the phases of ...