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On Accurate Domination in Graphs

Abstract

A dominating set of a graph G is a subset DVG such that every vertex not in D is adjacent to at least one vertex in D. The cardinality of a smallest dominating set of G, denoted by γ(G), is the domination number of G. The accurate domination number of G, denoted by γ a(G), is the cardinality of a smallest set D that is a dominating set of G and no |D|-element subset of VG \ D is a dominating set of G. We study graphs for which the accurate domination number is equal to the domination number. In particular, all trees G for which γ a(G) = γ(G) are characterized. Furthermore, we compare the accurate domination number with the domination number of different coronas of a graph.

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Response of African Eggplant (Solanum macrocarpon L.) to Foliar Application of 6-Benzylaminopurine and Gibberellic Acid

. Analytical Biochemistry 72: 248–254. DOI: 10.1016/0003-2697(76)90527-3. Coro M., Araki A., Rattin J., Miravé P., Di Benedetto A. 2014. Lettuce and celery responses to both BAP and PBZ related to the plug cell volume. American Journal of Experimental Agriculture 4(10): 1103–1119. DOI: 10.9734/ajea/2014/10096. Di Benedetto A., Galmarini C., Tognetti J. 2013. Changes in leaf size and in the rate of leaf production contribute to cytokinin-mediated growth promotion in Epipremnum aureum L. cuttings. Journal of Horticultural Science and Biotechnology 88(2): 179

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Seznam ugotovljenih ptic Slovenije s pregledom redkih vrst / The list of birds of Slovenia with an overview of rare species

): Rjavi jastreb Aegypius monachus . - Acrocephalus 31 (144): 59. Bibič, A. (1987): Labod pevec Cygnus cygnus . - Acrocephalus 8 (33): 43. BirdLife Austria (2011): Alex' Tagebuch. - [http://www.birdlife.at/coro-skat/kampagnen/tagebuch/alex/index. html], 7/11/2011. Bombek, D. (2011): Zalivski galeb Chroicocephalus genei . - Acrocephalus 32 (148/149): 96. Bordjan, D. (2003): Nevestica Aix sponsa . - Acrocephalus 24 (117): 74. Bordjan, D. (2004): Mandarinka Aix galericulata

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Endoscopic Ultrasound-guided Gastroenterostomy: A Promising Alternative to Surgery

, Dollhopf M, et al. EUS-guided choledochoduodenostomy for malignant distal biliary obstruction using a lumen-apposing fully covered metal stent after failed ERCP. Surg Endosc 2016;30:5002–8. 10.1007/s00464-016-4845-6 26969661 Kunda R Pérez-Miranda M Will U Ullrich S Brenke D Dollhopf M et al EUS-guided choledochoduodenostomy for malignant distal biliary obstruction using a lumen-apposing fully covered metal stent after failed ERCP Surg Endosc 2016 30 5002 8 32 Sharaiha RZ, Tyberg A, Khashab MA, Kumta NA, Karia K, Nieto J, et al

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