http://journals.christuniversity.in/index.php/mapana/issue/feedMapana Journal of Sciences2017-07-26T22:22:55+0530Anil Pintomapana@christuniversity.inOpen Journal Systems<p>Mapana, Christ University Journal of Sciences, is an instrument to generate greater interest, deeper insight and quest in the minds of students, teachers and researchers in the field of science. It provides space for an indepth analysis of issues, comments and concerns on scientific problems and events, research papers and articles of primary and secondary nature which would enable us to have a share in creating a more harmonious world.</p>http://journals.christuniversity.in/index.php/mapana/article/view/1483 Editorial2017-07-26T22:22:55+0530Joseph Varghese Kureetharafrjoseph@christuniversity.in2017-05-10T00:00:00+0530##submission.copyrightStatement##http://journals.christuniversity.in/index.php/mapana/article/view/1005 Path (or cycle)-trees with Graph Equations involving Line and Split Graphs2017-05-10T22:35:09+0530H P Patilhpppondy@gmail.comV Rajavraja.math@gmail.com<p>H-trees generalizes the existing notions of trees, higher dimensional trees and k-ctrees. The characterizations and properties of both Pk-trees for k at least 4 and Cn-trees for n at least 5 and their hamiltonian property, dominations, planarity, chromatic and b-chromatic numbers are established. The conditions under which Pk-trees for k at least 3 (resp. Cn-trees for n at least 4), are the line graphs are determined. The relationship between path-trees and split graphs are developed.</p>2017-05-10T00:00:00+0530##submission.copyrightStatement##http://journals.christuniversity.in/index.php/mapana/article/view/1006 Hall Effect on Two-Phase Laminar Boundary Layer flow of Dusty Liquid due to Stretching of an Elastic Flat Sheet2017-05-17T09:08:05+0530B Mahantheshmahanthesh.b@christuniversity.in<p>The present investigation is concerned with the effect of Hall current on boundary layer two-phase flow of an electrically conducting dusty fluid over a permeable stretching sheet in the presence of a strong magnetic field. The boundary layer approximation is employed for mathematical modeling. The governing partial differential equations are reduced to a set of ordinary differential equations using suitable similarity transformations. Subsequent equations are solved numerically by using Runge-Kutta-Fehlberg fourth-fifth order method. A comprehensive parametric study is conducted to reveal the tendency of solutions. It is found that the mass concentration of dust particles can be used as a control parameter to control the friction factor at the sheet. The influence of suction and injection are opposite on the momentum boundary layer growth.</p>2017-05-10T00:00:00+0530##submission.copyrightStatement##http://journals.christuniversity.in/index.php/mapana/article/view/1007 Upper Vertex Triangle Free Detour Number of a Graph2017-05-15T21:38:45+0530S Sethu Ramalingamssethusxc@gmail.comI Keerthi Asirasirsxc@gmail.comS Athisayanathanathisxc@gmail.com<p>For a graph G, the x-triangle free detour set, the x-triangle free detour number, the minimal x-triangle free detour set, the upper x-triangle free detour number, are defined and studied. Certain bounds are determined and the relation with the vertex triangle free detour number of a graph is found out. Some realization problems, properties related to the upper vertex detour number, the upper vertex detour monophonic number and the upper vertex geodetic number are also studied.</p>2017-05-10T00:00:00+0530##submission.copyrightStatement##http://journals.christuniversity.in/index.php/mapana/article/view/1465 Hexagonal Difference Prime Labeling of Some Path Graphs2017-06-27T21:37:49+0530B S Sunojspalazhi@yahoo.comMathew T K Varkeymathewvarkeytk@gmail.com<p>Hexagonal difference prime labeling of vertices of a graph is the labeling of the vertices of the graph with hexagonal numbers and the edges with absolute value of the difference of the labels of the incident vertices. The greatest common incidence number (<em>gcin</em>) of a vertex of degree greater than one is defined as the greatest common divisor of the labels of the incident edges. If the gcin of each vertex of degree greater than one is 1, then the graph admits hexagonal difference prime labeling. Here we identify some path related graphs for hexagonal difference prime labeling.</p>2017-05-10T00:00:00+0530##submission.copyrightStatement##http://journals.christuniversity.in/index.php/mapana/article/view/1466 Visualisation of Collage Grammar to CellWorks: ET0L Mode and Part Sensitive Mode2017-07-26T20:23:49+0530Ann Susa Thomasannsthomas11@gmail.com<p>Images are an important aspect of human life as one remembers pictures better than words. Informally, a twodimensional string is called a picture. A two-dimensional language (or picture language) is a set of pictures. Picture generation and analysis has become a widely investigated field in Theoretical Computer Science and in Mathematics. Collage grammars are studied as devices that generate pictures by rewriting based on hyperedge replacement. A cell-work is a finite set of cells where each cell (being a three dimensional entity) is surrounded by one or more faces. This paper focuses on how cell work languages can be captured by collage grammar in ET0L and Part Sensitive modes.</p>2017-05-10T00:00:00+0530##submission.copyrightStatement##