Graph of Fuzzy Topographic Topological Mapping in relation to k-Fibonacci Sequence

A generated n-sequence of fuzzy topographic topological mapping, FTTM n , is a combination of n number of FTTM’s graphs. An assembly graph is a graph whereby its vertices have valency of one or four. A Hamiltonian path is a path that visits every vertex of the graph exactly once. In this paper, we prove that assembly graphs exist in FTTM n and establish their relations to the Hamiltonian polygonal paths. Finally, the relation between the Hamiltonian polygonal paths induced from FTTM n to the k-Fibonacci sequence is established and their upper and lower bounds’ number of paths is determined.

Topological mapping: new method to map, analyze, and visualize humanistic data in the Arctic

<p>Maps have always played a central role in the analysis, visualization, and communication of environmental scientific data. In recent years, a growing number of social scientists have turned to mapping and Geographic Information Science (GIS) tools, to visualize and map human experiences, including in the Arctic. At the same time, social and theoretical critiques of GIS as a tool wielded chiefly by and for those in power have increased awareness of its limitations, particularly for studying human perceptions, experiences, and the meanings of place. Indeed, many places tied to human experience, such as emotions, sounds, or memories, cannot be mapped in a conventional GIS: they do not fit the rigidity of the Cartesian grid. They may lack coordinates, or simply have ambiguous boundaries. In this presentation, I discuss how a new mapping methodology – topological mapping – developed in the context of Holocaust research, can be applied for integrating traditional knowledge, or human experience, in Arctic geographical research. This new method pushes the field of GIScience in new directions, providing new opportunities for trans-disciplinary research, which better integrates humanistic data in mapping for analysis and communication. Using examples from using topological mapping whilst working with Saami reindeer herders youth, I demonstrate the potential for this new mapping method in the Arctic.  </p>