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Graph-theoretical ideas date back to at least the 1730's, when Leonhard Euler published his paper on the problem of Seven Bridges of Konigsberg. This puzzle asks whether there is a continuous walk that crosses each of the seven bridges of Konigsberg only once and if so, whether a closed walk can be found. Furthermore, the large part of graph theory has been motivated by the study of games and recreational mathematics. Graphs are very convenient tools for representing the relationships among objects, which are represented by vertices. In their turn, relationships among vertices are represented…mehr

Produktbeschreibung
Graph-theoretical ideas date back to at least the 1730's, when Leonhard Euler published his paper on the problem of Seven Bridges of Konigsberg. This puzzle asks whether there is a continuous walk that crosses each of the seven bridges of Konigsberg only once and if so, whether a closed walk can be found. Furthermore, the large part of graph theory has been motivated by the study of games and recreational mathematics. Graphs are very convenient tools for representing the relationships among objects, which are represented by vertices. In their turn, relationships among vertices are represented by connections. In general, any mathematical object involving points and connections among them can be called a graph. For a great diversity of problems such pictorial representations may lead to a solution. Examples of such applications include databases, physical networks, organic molecules, map colorings, signal- ow graphs, web graphs, tracing mazes as well as less tangible interactions occurring in social networks, ecosystems and in a ow of a computer program.
Autorenporträt
Dr. Sunilkumar Hosamani is currently working as Assistant Professor of Mathematics, at Rani Channamma University, Belagavi. He has published 68 research articles so far in the field of Graph Theory. Recently, he has solved three open problems which were posed by Prof. V. R. Kulli and Prof. E. Sampathkumar in their articles.