the harmonic index h(g) , of a graph g is defined as the sum of weights 2/(deg(u)+deg(v)) of all edges in e(g), where deg (u) denotes the degree of a vertex u in v(g). in this paper we define the harmonic polynomial of g. we present explicit formula for the values of harmonic polynomial for several families of specific graphs and we find the lower and upper bound for harmonic index in caterpill...

abstract: evaluation of drought tolerance for 20 barley genotypes were conducted under normal irrigation and terminal stress condition by withholding irrigation at the time of 50% flowering. drought effect on grain yield and plant total mass traits was studied and eight of stress indices including stress tolerance index (sti), stress tolerance (tol), stress susceptibility index (ssi), mean prod...

in order to study and determine the most effective traits, drought tolerance indices and identify tolerant genotypes in terminal drought stress on the cowpea, an experiment was carried out based on an augment design in two separate conditions in the karaj farm, faculty of agriculture, tehran university in 2009. drought stress was imposed by cutting irrigation after flowering against normal irri...

current study aimed at determining the most reliable drought tolerant criteria for identification of sugar beet genotypes. a split plot design based on randomized complete block design with three replications was applied at motahari research station, karaj, iran in 2012. two irrigation treatments including normal irrigation after 80-90 mm and irrigation after 270 mm evaporation (stress conditio...

to evaluate genetic variation and to study of dry matter remobilization towards seed, 64 bread wheat genotypes were examined in two separated experiments using alpha-latic design of 2 replications during 2002–2003. significant differences observed for most traits in normal and drought conditions. there were considerable variations among genotypes for independent parameters of dry matter remobil...

in order to evaluate the best drought resistance indices in sugar beetgenotypes, an experiment was conducted in 2002 using a split- plot design within randomized complete block design with three replications at the research farm, shiraz-zarghan. the main plots consisted of three irrigated regimes: non stress, 75% (mid stress) and 50% (intense stress) non stress and the ten genotypes as the sub ...

for evaluation of drought tolerance of sugar beet genotypes by assessment of the drought tolerance indices under mild and severe stresses, furrow irrigated field experiments were carried out at zarghan research station in 2002 and 2004, and at motahari research station (located inkaraj) in 2002, 2003, and 2004. the experimental design was split plot, with a randomized complete block arrangement...

The harmonic index H(G) , of a graph G is defined as the sum of weights 2/(deg(u)+deg(v)) of all edges in E(G), where deg (u) denotes the degree of a vertex u in V(G). In this paper we define the harmonic polynomial of G. We present explicit formula for the values of harmonic polynomial for several families of specific graphs and we find the lower and upper bound for harmonic index in Caterpill...

‎the harmonic index of a connected graph $g$‎, ‎denoted by $h(g)$‎, ‎is‎ ‎defined as $h(g)=sum_{uvin e(g)}frac{2}{d_u+d_v}$‎ ‎where $d_v$ is the degree of a vertex $v$ in g‎. ‎in this paper‎, ‎expressions for the harary indices of the‎ ‎join‎, ‎corona product‎, ‎cartesian product‎, ‎composition and symmetric difference of graphs are‎ ‎derived‎.