assessment of long term erosion and accretion rate of the coastal area is essential for selectionof different types of coastal structures. for example, it is not advisable to develop housing infrastructure onthe coast, which is historically eroding. similarly it is not preferable to select an accreting site for theconstruction of a port in order to avoid annual maintenance dredging after constr...

‎‎Let $R$ be a non-commutative ring with unity‎. ‎The commuting graph‎ of $R$ denoted by $Gamma(R)$‎, ‎is a graph with a vertex set‎ ‎$Rsetminus Z(R)$ and two vertices $a$ and $b$ are adjacent if and only if‎ $ab=ba$‎. ‎In this paper‎, ‎we investigate non-commutative rings with unity of order $p^n$ where $p$ is prime and $n in lbrace 4,5 rbrace$‎. It is shown that‎, ‎$Gamma(R)$ is the disjoint ...