Forming strong, equitable, and enduring social bonds with a few individuals in a group carries adaptive benefits in terms of increased longevity, offspring survival and paternity success in birds and mammals, including humans. These recent insights generated a new interest in the factors creating variation in the strength of social relationships. Whether and how animals discriminate paternal ki...

Should leaders pay more attention to values? The present study aims examine and explain the associations of engaging leadership (EL) with employees' perceptions organization's values, need fulfillment, employee engagement. EL is a recent concept drawing on self-determination theory, specifically fulfillment basic psychological needs autonomy, competence, relatedness. We expected associate emplo...

an equitable domination has interesting application in the contextof social networks. in a network, nodes with nearly equal capacitymay interact with each other in a better way. in the societypersons with nearly equal status, tend to be friendly. in thispaper, we introduce new variant of equitable domination of agraph. basic properties and some interesting results have beenobtained.

In this note, we derive an explicit formula for the equitable chromatic number of a complete n-partite graph Kp1 ;p2 ;:::;pn . Namely, if M is the largest integer such that pi (modM)¡ ⌈pi M ⌉ (i = 1; 2; : : : ; n) then e(Kp1 ;p2 ;:::;pn) = n ∑

We propose the following conjecture to generalize results of Pósa and Corrádi Hajnal. Let r, s be nonnegative integers and let G be a graph with |V (G)| ≥ 3r + 4s and minimal degree δ(G) ≥ 2r + 3s. Then G contains a collection of r + s vertex disjoint cycles, s of them with a chord. We prove the conjecture for r = 0, s = 2 and for s = 1. The corresponding extremal problem, to find the minimum n...

The inadequate supply of health workers and demand-side barriers due to clinical practice that heeds too little attention to cultural context are serious obstacles to achieving universal health coverage and the fulfillment of the human rights to health, especially for the poor and vulnerable living in remote rural areas. A number of strategies have been deployed to increase both the supply of h...

A graph G is r-equitably k-colorable if its vertex set can be partitioned into k independent sets, any two of which differ in size by at most r. The r-equitable chromatic threshold of a graph G, denoted by χr=(G), is the minimum k such that G is r-equitably k -colorable for all k ≥ k. Let G × H denote the Kronecker product of graphs G and H. In this paper, we completely determine the exact valu...

The present investigation examined whether autobiographical memory can function to regulate competence need satisfaction. Across two experiments, we how memories affected perceived after was threatened or satisfied in a previous task. Experiment 1 results from an undergraduate student sample (N = 150) indicated that reflecting on competence-satisfying increased for all participants, but this in...

1 Department of Mathematics, University College of Engineering Nagercoil, Anna University of Technology Tirunelveli (Nagercoil Campus), Nagercoil 629 004, Tamil Nadu, India 2 Department of Mathematics, R.V.S College of Engineering and Technology, Coimbatore 641 402, Tamil Nadu, India 3 Department of Mathematics, Sri Shakthi Institute of Engineering and Technology, Coimbatore 641 062, Tamil Nadu...