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This paper determines the maximum leaf number and the connected domination number of some undirected and connected circulant networks. We shall tackle this problem by working on the largest possible number of vertices between two consecutive jump sizes. This paper also determines the communication steps of its one-to-many communication scheme.

Development and growth of cereal leaves significantly affect grain yield since dry matter accumulation depends on the leaf area that intercepts light. Phyllochron is defined as time interval between the appearance of successive leaves on the main stem. The aim of this study was to determine the effect of year and cultivars on final leaf number (FLN) and phyllochron (PHY) in winter barley. Thermal unit was used as timescale with 0 °C as base temperature. Twelve cultivars differing in origin and time to anthesis (early, medium, and late) were tested during six growing seasons (GS), 2002/2003–2007/2008. FLN across cultivars and GSs was 13.5, and PHY was 75.7 GDD leaf−1. The highest FLN across GSs was in the late, six-rowed barley cultivar Kredit (14.7). The lowest FLN was in the early, two-rowed barley cultivar Novosadski 581 (11.3). In regard to earliness, lowest FLN was in the early cultivars (12.9) and highest in the late ones (13.9). The highest PHY across GSs was in the two-rowed cultivar Cordoba, 81.6 GDD leaf−1, the lowest in the two-rowed cultivar Novosadski 581, 71.0 GDD leaf−1. The early cultivars had fast leaf development, the medium cultivars medium, and the late cultivars slow development, 72.5 GDD leaf−1, 75.6 GDD leaf−1, and 78.9 GDD leaf−1, respectively. The tested cultivars showed significant variability in the FLN and PHY, which can be used for selecting most adaptable genotypes for specific conditions.