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 major aim of the research is to examine the influence that valuers and valuations have on the workings of the commercial property investment market in the UK. The research described involved interviews with 30 fund managers and owners and their property advisors. It finds evidence that valuations do not stand above the market, but are instead an integral part of it. Opportunities for client...

For a defined graph labeling, there exists a number of bijective functions for a graph of defined order and size which leads to different graphs. In this paper, a mathematical tool is developed to find the number of super vertex graceful graphs for a defined order “p” and size “q”. Mathematics Subject Classification: 05C78

The formal definition of valuation was firstly given by the Hungarian mathematician J. Kürschák in 1912 supported with ideas of Hensel. Valuation theory, based on this concept, has been developed by a large number of contributors (some of them distinguished mathematicians as Krull or Zariski) and it has a wide range of applications in different context and research areas as, for instance, algeb...

A seemingly simple question, how does warm inflation exit gracefully?, has a more complex answer than in cold paradigm. It been highlighted here that whether exits gracefully depends on three independent choices: The form of the potential, choice model (i.e., its dissipative coefficient) and regime, weak or strong dissipation, characterizing dynamics. Generic conditions slow-roll parameters sev...

In a paper entitled Noncommutative valuations, Schilling [8] proved that if an algebra of finite order over its center is relatively complete in a valuation (where the value group of the nonarchimedean, exponential valuation is not assumed to be commutative) then the value group is commutative. A similar type of theorem, proved by Albert [l], states that if an algebra of finite order over a fie...