313 research outputs found

    On highly regular strongly regular graphs

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    In this paper we unify several existing regularity conditions for graphs, including strong regularity, kk-isoregularity, and the tt-vertex condition. We develop an algebraic composition/decomposition theory of regularity conditions. Using our theoretical results we show that a family of non rank 3 graphs known to satisfy the 77-vertex condition fulfills an even stronger condition, (3,7)(3,7)-regularity (the notion is defined in the text). Derived from this family we obtain a new infinite family of non rank 33 strongly regular graphs satisfying the 66-vertex condition. This strengthens and generalizes previous results by Reichard.Comment: 29 page

    The classification of homomorphism homogeneous oriented graphs

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    The modern theory of homogeneous structures begins with the work of Roland Fra\"iss\'e. The theory developed in the last seventy years is placed in the border area between combinatorics, model theory, algebra, and analysis. We turn our attention to its combinatorial pillar, namely, the work on the classification of structures for given homogeneity types, and focus onto the homomorphism homogeneous ones, introduced in 2006 by Cameron and Ne\v{s}et\v{r}il. An oriented graph is called homomorphism homogeneous if every homomorphism between finite induced subgraphs extends to an endomorphism. In this paper we present a complete classification of the countable homomorphism homogeneous oriented graphs.Comment: 17 page

    Potential for Ethanol Vapours to Limit Table Grape Berry Shatter and to Limit Ethylene Evolution from Clusters

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    We have shown previously that ethanol vapours (given by 2 ml per kg of grapes) can prevent Botrytis development and stem browning, two of the major problems in postharvest quality of table grapes. In the present paper, we will give emphasis to preliminary results about (i) the role of ethanol vapours in the inhibition of berry shatter and (ii) the control of ethylene evolution from grapes bunches by ethanol vapours and the link to the control of Botryti

    Chloroplast to chromoplast transition in tomato fruit: spectral confocalmicroscopy analyses of carotenoids and chlorophylls in isolated plastids and time-lapse recording on intact live tissue

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    During evolution, chromoplasts have emerged as plastid structures which accumulate pigments to facilitate flower pollination and seed dispersal of fleshy fruit. There is good evidence that chromoplasts derive from chloroplasts (Pyke, 2007), even if nobody has ever recorded this transition. Structural changes occurring during chloroplast to chromoplast transition have been described in fleshy fruit by electron microscopy primarily in tomato (Rosso, 1968; Harris and Spurr, 1969) and in bell pepper (Spurr and Harris, 1968). During the differentiation process controlled breakdown of chlorophyll and disruption of the thylakoid membrane occurred, concomitant with an increase in the aggregation of carotenoids. Different carotenoid-accumulating bodies have been described, including plastoglobules, crystalline and microfibrillar structures, and internal membranous structures
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