F-Sets in graphs

AbstractA subset S of the vertex set of a graph G is called an F-set if every α ϵ Γ(G), the automorphism group of G, is completely specified by specifying the images under α of all the points of S, and S has a minimum number of points. The number of points, k(G), in an F-set is an invariant of G, whose properties are studied in this paper. For a finite group Γ we define k(Γ) = max{k(G) | Γ(G) = Γ}. Graphs with a given Abelian group and given k-value (k ≤ k(Γ)) have been constructed. Graphs with a given group and k-value 1 are constructed which give simple proofs to the theorems of Frucht and Bouwer on the existence of graphs with given abstract/permutation groups

Analysis of coconut cultivars and hybrids using isozyme polymorphism

The coconut (Cocos nucifera L.) is one of the major oilseeds of India. In the present study, an attempt has been made to analyse coconut diversity using isozyme banding data. Cluster analysis was performed using the banding patterns obtained from polyacrylamide gel electrophoresis for 11 isozyme systems in 40 different coconut cultivars and six hybrids and their parents. The cultivars grouped mainly into six clusters. In case of hybrids and their parents, the hybrids clustered intermediate between parents

Coherent States, Dynamics and Semiclassical Limit on Quantum Groups

Coherent states on the quantum group $SU_q(2)$ are defined by using harmonic analysis and representation theory of the algebra of functions on the quantum group. Semiclassical limit $q\rightarrow 1$ is discussed and the crucial role of special states on the quantum algebra in an investigation of the semiclassical limit is emphasized. An approach to $q$-deformation as a $q$-Weyl quantization and a relavence of contact geometry in this context is pointed out. Dynamics on the quantum group parametrized by a real time variable and corresponding to classical rotations is considered.Comment: 20 pages in latex, SFU-HEP-108-9

Effect of paclobutrazol and sucrose on in vitro cormel formation in gladiolus

Studies with excised shoots of six gladiolus cultivars viz., Bellariana, Blue Moon, Cream White, Friendship, Her Majesty and Top Brass indicated that paclobutrazol enhanced early cormel initiation and development. The interaction between paclobutrazol and sucrose was significant for cormel size. Supplementation of 10 mg L–1 paclobutrazol and 120 g L–1 sucrose to Murashige and Skoog’s medium favored formation of bigger cormels. Among the cultivars response to exogenous sucrose supplementation varied significantly and absence of paclobutrazol produced longer leaves, roots and smaller cormels

Influence of in vitro preconditioning of citrus microshoots with paclobutrazol on ex vitro survival

The influence of the in vitro conditioning and rooting of the microcuttings in different basal media viz., Murashige and Skoog and Gamborg supplemented with various concentrations of paclobutrazol (0.25-4.0 mg/1) on their in vivo establishment and growth was investigated using four citrus species viz., C. reticulata Blanco (Khasi Mandarin), C. volkameriana Ten, and Pasq, C. reshni Tanaka (Cleopatra Mandarin), and C. nobilis X C. deliciosa Tenure (Kinnow). The inclusion of paclobutrazol in the medium had a significant influence on in vivo growth especially in relation to height. Paclobutrazol reduced the stem and root growth but at 0.75 and 1.0 mg/1 more persistent leaves and new leaves on established plants were recorded. Stomata of leaves cultured in medium supplemented with paclobutrazol showed smaller stomatal apertures. Among the species, Kinnow and C. volkameriana showed the maximum leaf area. The optimum concentration of paclobutrazol for maximum establishment was found to be 1 mg/1 paclobutrazol (94.6% to 97.2 %) in all the species

Comparative effectiveness of inter-simple sequence repeat and randomly amplified polymorphic DNA markers to study genetic diversity of Indian Garcinia

A study to compare the effectiveness of inter-simple sequence repeats (ISSR) and randomly amplified polymorphic DNA (RAPD) profiling was carried out with a total of 65 DNA samples using 12 species of Indian Garcinia. ISSR and RAPD profiling were performed with 19 and 12 primers, respectively. ISSR markers generated a total number of 156 bands with 92 polymorphic bands, while RAPD markers produced a total of 134 bands with 80 polymorphic bands. Percentage of polymorphic loci in RAPD profiling was 60.4% while in ISSR profiling, it was 59.3%. Heterogeneity index was similar for the markers, 0.86 for ISSR and 0.89 for RAPD, indicating that both the marker systems are effective in determining polymorphism in Garcinia. ISSR markers showed clear distinction among the species whereas RAPD markers showed segregation based on geographical location as well as species based.Key words: Garcinia, genetic diversity, inter-simple sequence repeats, randomly amplified polymorphic DNA, principal component analysis