In [Abueida, A. and Roblee, K., More harmonious labelings of families disjoint unions an odd cycle certain trees, J. Combin. Math. Comput., 115 (2020), 61-68] it is shown that the union paths harmonious, starlike trees are using properties cosets for a particular subgroup integers modulo m, where m number edges graph. We expand upon these results by first exploring numerical when adding values ...

Abstract Let $G/K$ be an irreducible symmetric space, where G is a noncompact, connected Lie group and K compact, subgroup. We use decay properties of the spherical functions to show that convolution product any $r=r(G/K)$ continuous orbital measures has its density function in $L^{2}(G)$ hence absolutely measure with respect Haar measure. The number r approximately rank . For special case meas...

Abstract Let G be a finite group. $H, K$ subgroups of and $H \backslash / the double coset space. If Q is probability on which constant conjugacy classes ( $Q(s^{-1} t s) = Q(t)$ ), then random walk driven by projects to Markov chain /K$ . This allows analysis lumped using representation theory Examples include coagulation-fragmentation processes natural chains contingency tables. Our main exam...

We construct unitary modular categories for a general class of coset conformal field theories based on our previous study of these theories in the algebraic quantum field theory framework using subfactor theory. We also consider the calculations of the corresponding 3-manifold invariants. It is shown that under certain index conditions the link invaraints colored by the representations of coset...

The idea of q cyclotomic cosets modulo n due to carry Huffman and Vera pless is considered in the context of linear codes of length n over ( ) GF q where m q p  , p is a prime, 1 m  . An explicit formula for the number of q cyclostomes cosets modulo is obtained as an application of the classical Burnsides lemnra. The formula for the number of cyclic codes in   ( 1) n n q R F x x   is dedu...