a graph g is said to have a totally magic cordial labeling with constant c if there exists a mapping f : v (g) ∪ e(g) → {0, 1} such that f(a) + f(b) + f(ab) ≡ c (mod 2) for all ab ∈ e(g) and |nf (0) − nf (1)| ≤ 1, where nf (i) (i = 0, 1) is the sum of the number of vertices and edges with label i. in this paper, we give a necessary condition for an odd graph to be not totally magic cordial and ...

I read with great interest the recent article by Bonito et al. [1] in a recent issue of your esteemed journal. The article is highly thought provoking. Geminin is rapidly emerging as a significant marker and prognostic indicator in a number of systemic malignancies besides breast malignancies. A worse clinical outcome and correspondingly a lower relapse-free survival rate are seen in salivary g...

mean labelings are a type of additive vertex labeling. this labeling assigns non-negative integers to the vertices of a graph in such a way that all edge-weights are different, where the weight of an edge is defined as the mean of the end-vertex labels rounded up to the nearest integer. in this paper we focus on mean labelings of some graphs that are the result of the corona operation. in parti...

The present studies were initiated to investigate the changes [3H]deoxythymidine labeling index, primer-dependent DNA polymerase labeling index, and S-G2 transition after treatment of T1699 transplantable mouse mammary tumors with Adriamycin (5 mg/kg) and cyclophosphamide (100 mg/kg). Treatment with these agents resulted in intervals of subnormal tumor cell proliferation as indicated by decreas...

A {it topological index} of a graph is a real number related to the graph; it does not depend on labeling or pictorial representation of a graph. In this paper, we present the upper bounds for the product version of reciprocal degree distance of the tensor product, join and strong product of two graphs in terms of other graph invariants including the Harary index and Zagreb indices.

The changes in rate and location of cellular proliferation were analyzed to determine if localized areas of cell division were influencing shape changes in the chick thyroid. Pulse labeling with tritiated thymidine indicates that the gland's labeling index declines throughout its development. Initially, the thyroid placode has a lower labeling index than the neighboring pharyngeal epithelium. A...