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Given an i.i.d. sequence of n letters from a finite alphabet, we consider the length of the longest run of any letter. In the equiprobable case, results for this run turn out to be closely related to the well-known results for the longest run of a given letter. For coin-tossing, tail probabilities are compared for both kinds of runs via Poisson approximation.

let $g$ be a simple graph. an independent set is a set ofpairwise non-adjacent vertices. the number of vertices in a maximum independent set of $g$ isdenoted by $alpha(g)$. in this paper, we characterize graphs $g$ with $n$ vertices and with maximumnumber of maximum independent sets provided that $alpha(g)leq 2$ or $alpha(g)geq n-3$.

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In this paper we initialize the study of independent domination in directed graphs. We show that an independent dominating set of an orientation of a graph is also an independent dominating set of the underlying graph, but that the converse is not true in general. We then prove existence and uniqueness theorems for several classes of digraphs including orientations of complete graphs, paths, tr...

the purpose of the present article is to consider the independent single girl’s life style. first, it has been considered the single girl’s life style utilizing the ideas of theorizers like torstein veblen, george zimel, max weber, adler and pierre bourdieu and then it has been done an experimental study through a mixed approach. this research was done via quantitative and qualitative methods. ...

the  main  assumptions  in  liner  mixed  model  are normality  and  independency  of  random  effect component.   unfortunately,   these   two  assumptions   might   be  unrealistic   in  some   situations. therefore, in this paper, we will discuss about the analysis of bayesian analysis of non-normal and non-independent mixed model using skew-normal/independent distributions, and finally, thi...

Guided by the assumption that the preferences for a particular type of living arrangement are influenced by values of privacy and the level of needs/resources among the elderly, this study investigates how the socioeconomic and demographic characteristics of the Korean elderly are associated with their preferences for independent living over coresidence with their children. A logit model analys...