CONCERNING THE CONJUGATE OF A PARTITION
Journal Title: South East Asian Journal of Mathematics and Mathematical Sciences - Year 2017, Vol 13, Issue 2
Abstract
We develop an algebraic formula for the conjugate of a partition. As an immediate consequence, we obtain an alternate proof for the known result that the number of distinct parts of a partition is invariant under conjugation. In addition, we present a theorem concerning the multiplicities of the parts of a partition.
Authors and Affiliations
Neville Robbins
CONCERNING THE CONJUGATE OF A PARTITION
We develop an algebraic formula for the conjugate of a partition. As an immediate consequence, we obtain an alternate proof for the known result that the number of distinct parts of a partition is invariant under conjuga...
THE UBIQUITOUS DIGITAL TIME GROUP TG
The digital time H : M : S is defined with three two-digit fields as h2h1 : m2m1 : s2s1, identified with appropriate restricted place values on the hour (H), minute (M) and second (S) fields, is shown to be an 86,400...
K BANHATTI AND K HYPER-BANHATTI INDICES OF WINDMILL GRAPHS
Let G be a connected graph with vertex set V (G) and edge set E(G). The rst and second K Banhatti indices of G are dened as B1(G) = P ue[dG(u)+ dG(e)] and B2(G) = P ue[dG(u)dG(e)], where ue means that the vertex u and...