Graph Theory Graph theory - the study of graphs and networks‚ is often considered part of combinatorics‚ but has grown large enough and distinct enough‚ with its own kind of problems‚ to be regarded as a subject in its own right.[12] Graphs are one of the prime objects of st...
Madras University, May 2013 B.Sc(MATHS); GRAPH THEORY Question Paper (Distance Education) model question papersMadras University, May B.Sc(MATHS)
The mathematical problem of approximating one matrix by another of lower rank is closely related to the fundamental postulate of factor-theory. When formulated as a least-squares problem, the normal equations cannot be immediately written down, since the elements of the approximate matrix are not in...
Opinion formation cannot be modeled solely as an ideological deduction from a set of principles; rather, repeated social interactions and logic constraints among statements are consequential in the construct of belief systems. We address three basic ques
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From information theory, the authors note that a simple storage lower bound can be the number of possible instances of an entity, meaning the number of bits required to distinguish them. Using this type of awareness on the different elements that represent an adjacency array and by incorporating...
Machine learning plays an increasingly important role in many areas of chemistry and materials science, being used to predict materials properties, accelerate simulations, design new structures, and predict synthesis routes of new materials. Graph neural
to consider the canonical cut problem from graph theory canonical / 经典的,典型的 sever all connections sever /切断 hinted at a variety of computational complexities hint at /暗示 the problem was readily solved in polynomial time in polynomial / 多项式时间 crunch through solutions in a reasonabl...
Euler theory is a theory about the congruence property and describes the unique laws among the vertex number, face number and edge number in a polyhedron. Spectrogram theory mainly studies the topological properties of graphs based on the properties of adjacency, Laplacian, signless Laplacian and ...
transmitting information over noisy channels.The theory of association schemes provides the most effective means for determining just how large is actually possible;this theory rests on Delsarte’s thesis[4],which showed how to use schemes to translate the problem into a question that be solved ...