Quasi-total actions and translation numbers

Total $k$-Rainbow domination numbers in graphs

Let $kgeq 1$ be an integer, and let $G$ be a graph. A {it$k$-rainbow dominating function} (or a {it $k$-RDF}) of $G$ is afunction $f$ from the vertex set $V(G)$ to the family of all subsetsof ${1,2,ldots ,k}$ such that for every $vin V(G)$ with$f(v)=emptyset $, the condition $bigcup_{uinN_{G}(v)}f(u)={1,2,ldots,k}$ is fulfilled, where $N_{G}(v)$ isthe open neighborhood of $v$. The {it weight} o...

Total domination and total domination subdivision numbers

Induced Quasi-actions: a Remark

If the permutation action ρI is transitive, all factors Xi are quasiisometric to each other, and the restricted quasi-actions Gi y Xi are quasi-conjugate (when identifying different stabilizers Gi by inner automorphisms of G). The main result of this note is that in this case any of the quasi-actions Gi y Xi determines ρ up to quasi-conjugacy, and moreover any quasi-conjugacy class may arise as...

Quasi-Amicable Numbers are Rare

Define a quasi-amicable pair as a pair of distinct natural numbers each of which is the sum of the nontrivial divisors of the other, e.g., {48, 75}. Here nontrivial excludes both 1 and the number itself. Quasi-amicable pairs have been studied (primarily empirically) by Garcia, Beck and Najar, Lal and Forbes, and Hagis and Lord. We prove that the set of n belonging to a quasi-amicable pair has a...

The Study of the Convergence of University Governance and Quasi-Market Actions in Iran's Higher Education

In recent years, due to the emergence of new ideas such as the new public management approach, knowledge-based societies and economies, and globalization, the concepts of efficiency, effectiveness, and accountability in the public sector have attracted more attention to themselves. In this regard, Higher education in Iran has been influenced by the upstream documents, to shift its governance ap...