Likewise, graph theory is useful in biology and conservation efforts where a vertex can represent regions where certain species exist (or inhabit) and the edges represent migration paths, or movement between the regions. This information is important when looking at breeding patterns or tracking the ...
Graph theory is, as one might expect, defined as the study of graphs, and this quiz and worksheet combo will help you understand how graphs are studied. These practice questions will help you test you on identifying vertices and edges on graphs and identifying loops. Quiz & Worksheet Goals...
We shall discuss our contribution through the classification of some long-standing problems in important areas of graph theory: perfect graphs, intersection graphs, and structural characterization of graph classes. More precisely, we have shown that Chvátal’s skew partition is polynomial and that ...
, What are the outstanding fundamental problems?, What are the next important steps to take?. In short, Quo Vadis, Graph Theory?. The contributors to this volume have together provided a comprehensive reference source for future directions and open questions in the field....
Applications of differential geometry and representation theory to description of quantum correlations One of the most important questions in quantum information theory is the so-called separability problem. It involves characterizing the set of separable (o... Micha Oszmaniec - 《Physics》 被引量: ...
It starts by presenting and comparing the most important data structures and techniques applied for representing and analyzing graphs on state-of-the-art GPUs. It then presents the theory and an updated review of the most efficient implementations of graph algorithms for GPUs. In particular, the ...
A substantial proportion of the book covers topics that have not appeared in book form before, and as such it provides an accessible introduction to the research literature and to important open questions in modern algebraic graph theory. This book is primarily aimed at graduate students and ...
In this study, we have provided graph-theoretic arguments for the characterization of the convergence properties of such opinion dynamic models based on extensive existing knowledge of convergence and mixing time of random walks on graphs using the theory of Markov chains. We have shown that converge...
Digital reconstruction has been instrumental in deciphering how in vitro neuron architecture shapes information flow. Emerging approaches reconstruct neural systems as networks with the aim of understanding their organization through graph theory. Comput
Especially theControllerandOperationsmodules are important for understanding how to make the most out of the framework. We took extra care to fully document the code, so that you can easily understand how it works and how to extend it.