Graph Theory

Author(s):  
Seethalakshmi R.

Mathematics acts an important and essential need in different fields. One of the significant roles in mathematics is played by graph theory that is used in structural models and innovative methods, models in various disciplines for better strategic decisions. In mathematics, graph theory is the study through graphs by which the structural relationship studied with a pair wise relationship between different objects. The different types of network theory or models or model of the network are called graphs. These graphs do not form a part of analytical geometry, but they are called graph theory, which is points connected by lines. The various concepts of graph theory have varied applications in diverse fields. The chapter will deal with graph theory and its application in various financial market decisions. The topological properties of the network of stocks will provide a deeper understanding and a good conclusion to the market structure and connectivity. The chapter is very useful for academicians, market researchers, financial analysts, and economists.

Author(s):  
James A Brugler ◽  
Carole Comerton-Forde ◽  
Terrence Hendershott

Author(s):  
Andrea Quinlan ◽  
Elizabeth Quinlan ◽  
Desiree Nelson

Teaching innovative schools of thought call for innovative methods of instruction. This article investigates the challenges associated with teaching Actor-Network Theory (ANT) and proposes a creative pedagogical approach of ‘performing’ ANT in the classroom. This article presents a small case study of an instance where this theatrical method was employed in an undergraduate classroom to teach Annemarie Mol’s The Body Multiple. Based on the qualitative data collected from reflections of students and the professor, it investigates the successes of this creative pedagogical approach to teach ANT. This article argues that it is only through innovative teaching methods that ANT can be effectively explored in the classroom.


2016 ◽  
Vol 59 (1) ◽  
pp. 221-235
Author(s):  
MAX F. PITZ ◽  
ROLF SUABEDISSEN

AbstractThis paper investigates topological reconstruction, related to the reconstruction conjecture in graph theory. We ask whether the homeomorphism types of subspaces of a space X which are obtained by deleting singletons determine X uniquely up to homeomorphism. If the question can be answered affirmatively, such a space is called reconstructible. We prove that in various cases topological properties can be reconstructed. As main result we find that familiar spaces such as the reals ℝ, the rationals ℚ and the irrationals ℙ are reconstructible, as well as spaces occurring as Stone–Čech compactifications. Moreover, some non-reconstructible spaces are discovered, amongst them the Cantor set C.


2017 ◽  
Vol 09 (05) ◽  
pp. 1750064 ◽  
Author(s):  
Ali Ahmad

Graphene is an atomic scale honeycomb lattice made of the carbon atoms. Graph theory has given scientific expert an assortment of helpful apparatuses, for example, topological indices. A topological index [Formula: see text] of a graph [Formula: see text] is a number with the property that for each graph [Formula: see text] isomorphic to [Formula: see text] [Formula: see text] In this paper, we exhibit correct expressions for some topological indices for para-line graph of honeycomb networks and graphene.


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