Vertex Magic Group Edge Labelings A PROJECT SUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSITY OF MINNESOTA BY Michael Aidan McKeown IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE

Balanced Degree-Magic Labelings of Complete Bipartite Graphs under Binary Operations

A graph is called supermagic if there is a labeling of edges where the edges are labeled with consecutive distinct positive integers such that the sum of the labels of all edges incident with any vertex is constant. A graph G is called degree-magic if there is a labeling of the edges by integers 1, 2, ..., |E(G)| such that the sum of the labels of the edges incident with any vertex v is equal t...

GENERATION OF INDUCED PLURIPOTENT STEM CELLS AND MESENCHYMAL STROMAL CELLS SUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSITY OF MINNESOTA BY Aarathi Shanmugam IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE

Thesis Submitted in Partial Fulfillment of the requirement for the Degree of M.A/M. Sc In School consultant

Goal: The aim of this study is assess and compare emotional ability of deaf. Semi _ deaf and hearing students (14 _ 20) in Mashhad. Method: To do this experiment out of studies evidence   generally 105 students selecting randomly. From each group, choose the number of normal boys and girls 35, deaf boys and girls and semi deaf boys and girls .this article is useful and explanatory .in this stud...

A Turán Theorem for Random Graphs Dean of the Graduate School Date a Turán Theorem for Random Graphs a Turán Theorem for Random Graphs

of a thesis submitted to the Faculty of the Graduate School of Emory University in partial fulfillment of the requirements of the degree of Master of Science Department of Mathematics and Computer Science

Graceful labelings of the generalized Petersen graphs

A graceful labeling of a graph $G=(V,E)$ with $m$ edges is aninjection $f: V(G) rightarrow {0,1,ldots,m}$ such that the resulting edge labelsobtained by $|f(u)-f(v)|$ on every edge $uv$ are pairwise distinct. For natural numbers $n$ and $k$, where $n > 2k$, a generalized Petersengraph $P(n, k)$ is the graph whose vertex set is ${u_1, u_2, cdots, u_n} cup {v_1, v_2, cdots, v_n}$ and its edge set...