‎a set $s$ of vertices of a graph $g=(v,e)$ without isolated vertex‎ ‎is a {em total dominating set} if every vertex of $v(g)$ is‎ ‎adjacent to some vertex in $s$‎. ‎the {em total domatic number} of‎ ‎a graph $g$ is the maximum number of total dominating sets into‎ ‎which the vertex set of $g$ can be partitioned‎. ‎we show that the‎ ‎total domatic number of a random $r$-regular graph is almost‎...

with increasing the world population, and needing to feed it, the yield enhancement of cereals crops is of the most important approaches meet this target, which is achieved via identifying the effective factors underlay yield of cereals like wheat. this experiment was conducted to evaluate the grain yield and its association with some contributed traits in a doubled-haploid (dh) wheat populatio...

A {em Roman dominating function} on a graph $G$ is a function $f:V(G)rightarrow {0,1,2}$ satisfying the condition that every vertex $u$ for which $f(u)=0$ is adjacent to at least one vertex $v$ for which $f(v)=2$. A {em total Roman dominating function} is a Roman dominating function with the additional property that the subgraph of $G$ induced by the set of all vertices of positive weight has n...

in order to determine the best planting date and seeding rate of two triticale genotype in mashhad climate condition on 2007-2009 growing season, an experiment was carried out, using a split-plot design based on randomized complete block design with three replication, at torogh agricultural research station, mashhad, iran. main plots devoted to five seeding dates and factorial combination of th...

salinity tolerance is a genetically and physiologically complex trait, controlled by quantitative trait loci (qtls). in order to map the qtls associated with agronomic and physiological traits, 149 doubled haploid lines derived from a cross between clipper (salt susceptible) and sahara 3771 (salt tolerant) barley genotypes were evaluated under natural saline-stress and non-stress conditions usi...

to evaluate the genetic diversity in twenty barley genotypes, an experiment based on randomized complete block design with three replications was done at agriculture researches station of ardabil, iran in 2009-10. investigated traits of this study was included days to flowering, plant height, 1000 seed weight, number of infertile tiller, number of seed per spike, harvest index, days to maturity...