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Structure And Study Of Elements In Ternary Γ-Semigroups, Innovative Research Publications Irp India, D. Madhusudhana Rao, M. Vasantha, M. Venkateswara Rao Apr 2015

Structure And Study Of Elements In Ternary Γ-Semigroups, Innovative Research Publications Irp India, D. Madhusudhana Rao, M. Vasantha, M. Venkateswara Rao

Innovative Research Publications IRP India

In this paper we introduce the notion of a ternary Γ- semigroup is introduced and some examples are given. Further the terms commutative ternary Γ-semigroup, quasi commutative ternary Γ-semigroup, normal ternary Γ- semigroup, left pseudo commutative ternary Γ-semigroup, right pseudo commutative ternary Γ-semigroup are introduced and characterized them. In section 2, the terms; ternary Γ-subsemigroup, ternary Γ-subsemigroup generated by a subset, cyclic ternary Γ-subsemigroup of a ternary Γ-semigroup and cyclic ternary Γ-semigroup are introduced and characterized them In section 3, we discussed some special elements of a ternary Γ-semigroups and characterized them.


Structure And Study Of Elements In Ternary Γ-Semigroups, Innovative Research Publications Irp India, D. Madhusudhana Rao, M. Vasantha, M. Venkateswara Rao Apr 2015

Structure And Study Of Elements In Ternary Γ-Semigroups, Innovative Research Publications Irp India, D. Madhusudhana Rao, M. Vasantha, M. Venkateswara Rao

Innovative Research Publications IRP India

In this paper we introduce the notion of a ternary Γ- semigroup is introduced and some examples are given. Further the terms commutative ternary Γ-semigroup, quasi commutative ternary Γ-semigroup, normal ternary Γ- semigroup, left pseudo commutative ternary Γ-semigroup, right pseudo commutative ternary Γ-semigroup are introduced and characterized them. In section 2, the terms; ternary Γ-subsemigroup, ternary Γ-subsemigroup generated by a subset, cyclic ternary Γ-subsemigroup of a ternary Γ-semigroup and cyclic ternary Γ-semigroup are introduced and characterized them In section 3, we discussed some special elements of a ternary Γ-semigroups and characterized them.


Sufficient Condition For Complete Graphs And Hamiltonian Graphs, Innovative Research Publications Irp India, S.Venu Madava Sarma, T.V. Pradeep Kumar Feb 2015

Sufficient Condition For Complete Graphs And Hamiltonian Graphs, Innovative Research Publications Irp India, S.Venu Madava Sarma, T.V. Pradeep Kumar

Innovative Research Publications IRP India

In 1856, Hamiltonian introduced the Hamiltonian Graph where a Graph which is covered all the vertices without repetition and end with starting vertex. In this paper I would like to prove that every Complete Graph ‘G’ having n ≥ 5 vertices, such that n is odd. If for all pairs of nonadjacent vertices u, v one has du + dv ≥ n − 2, then G has a Hamiltonian path.


Belpatra (Aegel Marmelos) Bark Powder As An Adsorbent For The Color Removal Of Textile Dye “Torque Blue”, Innovative Research Publications Irp India, Vandana Gupta, Anupam Agarwal, M. K. Singh Feb 2015

Belpatra (Aegel Marmelos) Bark Powder As An Adsorbent For The Color Removal Of Textile Dye “Torque Blue”, Innovative Research Publications Irp India, Vandana Gupta, Anupam Agarwal, M. K. Singh

Innovative Research Publications IRP India

Adsorption is used as a potential method for the removal of color (dye) from industrial waste water. In this paper an easily available low cost Belpatra (Aegel marmelos) bark powder was used as an adsorbent for the removal of textile dye Torque Blue. For the present work several experiments were conducted at different adsorbent dosage, pH, temperature, dye concentration, particle size, and contact time in a batch adsorption mode. The experimental results revealed that maximum adsorption capacity of Belpatra bark powder on Torque blue dye was found to be 98% at an adsorbent dosage of 0.7gm in 100 ml dye …