An acyclic edge coloring of a graph is a proper edge coloring such that there are no bichromatic cycles. The acyclic chromatic index of a graph $G$ denoted by $chi_a '(G)$ is the minimum number $k$ such that there is an acyclic edge coloring using $k$ colors. The maximum degree in $G$ denoted by $Delta(G)$, is the lower bound for $chi_a '(G)$. $P$-cuts introduced in this paper acts as a powerfu...

The heartwood of Caesalpinia sappan L. (Caesalpiniaceae) is traditionally used in China and Ayurveda. In Thailand it is used as coloring agent in beverage, food, garment and cosmetics. The objective of this study is to find out which ages of wood giving effective natural antioxidant. The heartwood extracts in various ratio of extraction solution CH3OH:CH2Cl2 and various ages were measured for t...

In this paper, we review the empirical literature concerning the important question of whether or not food color influences taste and flavor perception in humans. Although a superficial reading of the literature on this topic would appear to give a somewhat mixed answer, we argue that this is, at least in part, due to the fact that many researchers have failed to distinguish between two qualita...

Food additives are substances added to food to preserve flavor or enhance its taste and appearance. The ways of food additives classification, source of nature, food coloring, flavors, taste, which were collected from literature based on structural and biochemical characteristics with description of source and possible effects on Drosophila organisms, have been presented. The study reveals sign...

A new variation of the coloring problem, μ-coloring, is defined in this paper. Given a graph G and a function μ, a μ-coloring is a coloring where each vertex v of G must receive a color at most μ(v). It is proved that μ-coloring lies between coloring and list-coloring, in the sense of generalization of problems and computational complexity. The notion of perfection is extended for μ-coloring, l...

The liquors were found to be adulterated with impure water from different sources. The measurement of pH, chloride concentration, total dissolved solid, total suspended solid and heavy metals reveals the adulteration in liquors. The duplicate brands contain rectified spirit, caramel, coloring agents, flavoring agents and essential oils which are not according to specifications. The adulterated ...

Network Science has reported a considerable amount of human-subject experiments on which individuals have to carry out different kind of coordination games such as coloring and consensus problems in order to observe the behavioral dynamics behind the decision-making process. We have focused on the experiments carried out by Kearns (Kearns, 2010) on which were found strong correlations between t...

Dye-containing wastewater generated from textile industries is a major source of environmental pollution. Azo dyes, which are the largest group of coloring agents, are widely used in industries.This research investigated the photocatalytic decolorization and degradation of an azo dye Reactive Red 198 (RR198) in aqueous solution with TiO2-P25 (Degussa) as photocatalyst in slurry form using UV li...

Dvo?ák and Postle introduced the concept of DP-coloring to overcome some difficulties in list coloring. Sittitrai Nakprasit combined defective coloring define a new coloring—relaxed DP-coloring. For relaxed DP-coloring, Sribunhung et al. proved that planar graphs without 4- 7-cycles are DP-(0, 2, 2)-colorable. Li 4, 8-cycles or 9-cycles DP-(1, 1, 1)-colorable. Lu Zhu 5-cycles, 6-cycles, In this...