The metric dimension of a graph is the size of the smallest set of vertices whose distances distinguish all pairs of vertices in the graph. We show that this graph invariant may be calculated by an algorithm whose running time is linear in the input graph size, added to a function of the largest possible number of leaves in a spanning tree of the graph.

leaf rolling, especially in cereals, mechanisms for reducing the light receiving surface of the leaves to reduce transpiration rate in response to drought caused. to investigate the effect of drought stress on leaf rolling and leaf anatomical characteristics, yield and yield components in field experiment was conducted bahonar university . in this experiment, five varieties of wheat (shole, omi...

in this regard, the morphophysiologic and anatomic characteristics of six olive cultivars (nabali, feshomi, arbequin, zard, gordal and roghani) were investigated under drought. experiments were designed based on factorial and complete block random plot with two control treatments, -1.5 mpa stress and three replicates. the investigated factors were as follows: leaf area, specific leaf area, leaf...

this study was conducted to evaluate the effect of fertilizers on the yield and essential oils of basil. this experiment was carried out in completely randomized block design with three replications in jiroft area. the treatments included three levels of barvar 2 (10, 20 and 25 g/ha), cow manure at three levels (5, 10 and 15 ton/ha), ammonium phosphate and superphosphate triple each at three le...

this research was designed to identify garlic (allium sativum l.) bolting clones and determining the relationship between their morphological traits and bolting capacity by using statistical methods of analysis of variance, comparison of means, correlation coefficients, factor analysis, stepwise regression, path analysis and cluster analysis. traits including flowering ability, number, length a...