LABELING OF PALEY DIGRAPHS

On Mod Difference Labeling of Digraphs

A digraph D = (V,E) is a mod difference digraph if there exist a positive integer m and a labeling L : V → {1, 2, . . . , m − 1} such that (x, y) ∈ E if and only if L(y) − L(x) ≡ L(w)(mod m) for some w ∈ V. In this paper we prove that complete symmetric digraphs, unipaths and unicycles are mod difference digraphs.

On Z3-Magic Labeling and Cayley Digraphs

Let A be an abelian group. An A-magic of a graph G = (V, E) is a labeling f : E(G) → A\{0} such that the sum of the labels of the edges incident with u ∈ V is a constant, where 0 is the identity element of the group A. In this paper we prove Z3-magic labeling for the class of even cycles, Bistar, ladder, biregular graphs and for a certain class of Cayley digraphs. Mathematics Subject Classifica...

More skew-equienergetic digraphs

Two digraphs of same order are said to be skew-equienergetic if their skew energies are equal. One of the open problems proposed by Li and Lian was to construct non-cospectral skew-equienergetic digraphs on n vertices. Recently this problem was solved by Ramane et al. In this  paper, we give some new methods to construct new skew-equienergetic digraphs.

Generalized Paley-Wiener Theorems

Non-harmonic Fourier transform is useful for the analysis of transient signals, where the integral kernel is from the boundary value of Möbius transform. In this note, we study the Paley–Wiener type extension theorems for the non-harmonic Fourier transform. Two extension theorems are established by using real variable techniques.

Paley triple arrays