Miklavič and Milanič (2011) introduced the connections among the classes of equistable, general partition and triangle graphs. We present results concerning the three classes aforementioned. In particular, we show that the general partition and triangle classes are both closed under the operations of substitution, induction and contraction of modules. Moreover, we show that the triangle conditi...

We prove that if the vertices of a complete graph are labeled with the elements of an arithmetic progression, then for any given vertex there is a Hamiltonian path starting at this vertex such that the absolute values of the differences of consecutive vertices along the path are pairwise distinct. In another extreme case where the label set has small additive energy, we show that the graph actu...

Synthetic antioxidants are added to food in the powdered form to preserve it. However these compounds posed serious health concern since they have been associated with causing cancer. Thus using fresh herbs with antioxidant activities would be good alternative. The objectives of this study were to evaluate and compare the total phenolic contents and antioxidant activities of both powdered and f...

For deep-space mission design, the gravity of Sun and Moon can be first considered utilized. Their provide energy change for launching spacecraft retrieving as well asteroids. Regarding an asteroid retrieval mission, it lead to mitigation hazards easy exploration exploitation asteroid. This paper discusses application Sun-driven lunar swingby sequence missions. Characterizing capacity this tech...

BACKGROUND AND AIMS Flower colour varies within and among populations of the Rocky Mountain columbine, Aquilegia coerulea, in conjunction with the abundance of its two major pollinators, hawkmoths and bumble-bees. This study seeks to understand whether the choice of flower colour by these major pollinators can help explain the variation in flower colour observed in A. coerulea populations. ME...

A graph G is pseudo 2–factor isomorphic if the parity of the number of cycles in a 2–factor is the same for all 2–factors ofG. In [3] we proved that pseudo 2–factor isomorphic k–regular bipartite graphs exist only for k ≤ 3. In this paper we generalize this result for regular graphs which are not necessarily bipartite. We also introduce strongly pseudo 2–factor isomorphic graphs and we prove th...

Given a complete graph Kn = (V, E), with edge weight ce on each edge, we consider the problem of partitioning the vertices of graph Kn into subcliques that each have at least S vertices, so as to minimize the total weight of the edges that have both endpoints in the same subclique. It is an extension of the classic Clique Partition Problem that can be well solved using triangle inequalities, bu...

At Cornell University, Emerson has been the leader in an important series of genetical investigations of maize, in which the Mendelian factorial composition of many color varieties has been established. In a recent memoir1 he has dealt especially with what he terms plant colors; i.e., colors due to pigments (otherthan those of the chloroplasts) whichare commonly seen in the husks, the staminate...