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The minimum vertex-block dominating energy of the graph
Sayinath Udupa,R. S. Bhat,Vinay Madhusudanan 장전수학회 2019 Proceedings of the Jangjeon mathematical society Vol.22 No.4
Let B(G) denote the set of all blocks of a graph G. A vertex v 2 V and a block b 2 B(G) are said to block dominate (b-dominate) each other if v is in the block b. A set D V is said to be a vertex block dominating set (VBD- set) if every block in G is b-dominated by some vertex in D. The vertex block domination number vb = vb(G) is the cardinality of the minimum vertex block dominating set of G. In this paper we introduce new kind of graph energy, the minimum vertex block dominating energy of the graph denoting it as Evb(G). It depends both on the underlying graph of G and the particular minimum vertex block dominating set ( vb-set) of G. Upper and lower bounds for Evb(G) are established and we also obtain energy of some family of graphs.
Khadija Ahansal,Hanane Aadel,Sripada Mahabala Udupa,Fatima Gaboun,Rabha Abdelwahd,Mohammed Ibriz,Driss Iraqi 한국식물생명공학회 2022 JOURNAL OF PLANT BIOTECHNOLOGY Vol.49 No.2
An efficient genetic transformation protocol is a fundamental requirement for high regeneration capacity from cultivated durum wheat (Triticum durum) varieties. In this study, wereportedtheeffectsoftwoauxins,2,4-dichlorophenoxyaceticacid(2,4-D)and4-amino-3,5,6-trichloropicoli nicacid(picloram), at a concentration of 2 mg/Laloneandincombination on the embryogenic callus and plantlet regeneration of four durum wheat varieties (Amria, Chaoui, Marouane, and Tomouh) using mature embryos (MEs) and immature embryos (ImEs). Significanteffectsofvariety,culturemedium(theauxinused),andvariety-mediuminteraction were observed on the callus weight and plantlet regeneration of both MR and ImE explants. The medium used for callus induction significantly affected plantlet regeneration (p < 0.001). Comparedto2,4-D, picloram led to a higher plantlet regeneration rate in both ME and ImE explants (19.8% and 40.86%, respectively). Plantlet regeneration also varied significantly depending on the variety and medium used. PicloramledtohighplantletregenerationofbothME and ImE explants in all varieties except Tomouh, which showed high plantlet regeneration of ME explants in 2,4-D. A comparison of ME and ImE responses indicated that ImEs are the best explants for high plantlet regeneration in durum wheat. Ourfindingssuggestthatpicloramisthebestauxin and should be used instead of 2,4-D due to its positive effect on increasing plant regeneration of durum wheat ME and ImE explants.
A note on modular equations of signature 2 and their evaluations
Belakavadi Radhakrishna Srivatsa Kumar,Arjun Kumar Rathie,Nagara Vinayaka Udupa Sayinath,SHRUTHI 대한수학회 2022 대한수학회논문집 Vol.37 No.1
In his notebooks, Srinivasa Ramanujan recorded several modular equations that are useful in the computation of class invariants, continued fractions and the values of theta functions. In this paper, we prove some new modular equations of signature 2 by well-known and useful theta function identities of composite degrees. Further, as an application of this, we evaluate theta function identities.
Biolistic transformation of Moroccan durum wheat varieties by using mature embryo-derived calli
Chaimae Senhaji,Fatima Gaboun,Rabha Abdelwahd,Ghizlane Diria,Sripada Udupa,Allal Douira,Driss Iraqi 한국식물생명공학회 2021 JOURNAL OF PLANT BIOTECHNOLOGY Vol.48 No.4
Environmental stresses are estimated to have reduced global crop yields of wheat by 5.5%. However, traditional approaches for the transfer of resistance to these stresses in wheat plants have yielded limited results. In this regard, genetic transformation has undoubtedly opened up new avenues to overcome crop losses due to various abiotic stresses. Particle bombardment has been successfully em- ployed for obtaining transgenic wheat. However, most of these procedures employ immature embryos, which are not available throughout the year. Therefore, the present investi- gation utilized mature seeds as the starting material and used the calli raised from three Moroccan durum wheat varieties as the target tissue for genetic transformation by the biolistic approach. The pANIC-5E plasmid containing the SINA gene for drought and salinity tolerance was used for genetic trans- formation. To enhance the regeneration capacity and trans- formation efficiency of the tested genotypes, the study compared the effect of copper supplementation in the induc- tion medium (up to 5 μM) with the standard MS medium. The results show that the genotypes displayed different sensitivities to CuSO4, indicating that the transformation efficiency was highly genotype-dependent. The integration of transgenes in the T0 transformants was demonstrated by polymerase chain reaction (PCR) analysis of the obtained resistant plantlets with primers specific to the SINA gene. Among the three genotypes studied, ‘Isly’ showed the highest efficiency of 9.75%, followed by ‘Amria’ with 1.25% and ‘Chaoui’ with 1%.