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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs (Hardcover)
Loot Price: R5,669
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Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs (Hardcover)
Series: Discrete Mathematics and Its Applications
Expected to ship within 12 - 17 working days
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On the surface, matrix theory and graph theory seem like very
different branches of mathematics. However, adjacency, Laplacian,
and incidence matrices are commonly used to represent graphs, and
many properties of matrices can give us useful information about
the structure of graphs. Applications of Combinatorial Matrix
Theory to Laplacian Matrices of Graphs is a compilation of many of
the exciting results concerning Laplacian matrices developed since
the mid 1970s by well-known mathematicians such as Fallat, Fiedler,
Grone, Kirkland, Merris, Mohar, Neumann, Shader, Sunder, and more.
The text is complemented by many examples and detailed
calculations, and sections followed by exercises to aid the reader
in gaining a deeper understanding of the material. Although some
exercises are routine, others require a more in-depth analysis of
the theorems and ask the reader to prove those that go beyond what
was presented in the section. Matrix-graph theory is a fascinating
subject that ties together two seemingly unrelated branches of
mathematics. Because it makes use of both the combinatorial
properties and the numerical properties of a matrix, this area of
mathematics is fertile ground for research at the undergraduate,
graduate, and professional levels. This book can serve as
exploratory literature for the undergraduate student who is just
learning how to do mathematical research, a useful "start-up" book
for the graduate student beginning research in matrix-graph theory,
and a convenient reference for the more experienced researcher.
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