In the present study, an investigation on the complex formation between mono- and divalent metal ions (Na+, K+, Li+ and Mg2+) in the form of salt with different podands using various solvents has been carried out.  Isolated complexes were characterized by different spectroscopic techniques viz. IR, NMR and elemental analysis. On the basis of ...

Let X be a pseudocyclic association scheme in which all the nontrivial relations are strongly regular graphs with the same eigenvalues. We prove that the principal part of the first eigenmatrix of X is a linear combination of an incidence matrix of a symmetric design and the all-ones matrix. Amorphous pseudocyclic association schemes are examples of such association schemes whose associated sym...

Let X be a pseudocyclic association scheme in which all the nontrivial relations are strongly regular graphs with the same eigenvalues. We prove that the principal part of the first eigenmatrix of X is a linear combination of an incidence matrix of a symmetric design and the all-ones matrix. Amorphous pseudocyclic association schemes are examples of such association schemes whose associated sym...

The notion of pseudocyclic association scheme is generalized to the non-commutative case. It is proved that any pseudocyclic scheme the rank of which is much more than the valency is the scheme of a Frobenius group and is uniquely determined up to isomorphism by its intersection number array. An immediate corollary of this result is that any scheme of prime degree, valency k and rank at least k...

Recent classification of 3/2-transitive permutation groups leaves us with three infinite families which are neither 2-transitive, nor Frobenius, one-dimensional affine. The the first two correspond to special actions PSL(2, q) and PΓL(2, q), whereas those third family affine solvable subgroups AGL(2, found by D. Passman in 1967. association schemes each these known be pseudocyclic. It is proved...

In the theory of codes based on the Hamming metric, three classes of codes are well known, viz. cyclic codes, shortened cyclic codes and pseudocyclic codes. The important result is that a class of linear shortened cyclic codes coincides with a class of linear pseudocyclic codes [1]. There are no similar results in the theory of rank-metric based codes. In this paper, we generalize the notion of...

Cyclic arcs (defined by Storme and Van Maldghem, [1994]) and pseudocyclic MDS codes are equivalent objects. We survey known results on the existence of cyclic arcs. Some new results on cyclic arcs in PG(2, q) are also given.

The action of PGL(2,2m) on the set of exterior lines to a nonsingular conic in PG(2,2m) affords an association scheme, which was shown to be pseudocyclic in [H.D.L. Hollmann, Association schemes, Master thesis, Eindhoven University of Technology, 1982]. It was further conjectured in [H.D.L. Hollmann, Association schemes, Master thesis, Eindhoven University of Technology, 1982] that the orbital ...

We construct twelve infinite families of pseudocyclic and non-amorphic association schemes, in which each nontrivial relation is a strongly regular graph. Three of the twelve families generalize the counterexamples to A. V. Ivanov’s conjecture by Ikuta and Munemasa [13].

Self-assembled pseudocyclic structures consisting of two molecules of a crown-containing butadienyl dye and two Mg(2+) ions readily undergo regio- and stereospecific [2+2] photocycloaddition in MeCN to produce a single cyclobutane stereoisomer in almost quantitative yield.