000			02862nam a22003017a 4500
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020			_a9781032920078
040			_aNISER LIBRARY _cNISER LIBRARY _beng
041			_aEngilsh
082	0	0	_a512.643 _bMOL-A
100	1		_aMolitierno, Jason J.
245	1	0	_aApplications of combinatorial matrix theory to laplacian matrices of graphs
260			_aBoca Raton, FL : _bCRC Press, _c2024
300			_a405 p. : _bill. ; _c27 cm.
490			_aDiscrete mathematics and its applications
504			_aIncludes bibliographical references and index.
520			_aOn 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.
650		0	_aGraph connectivity.
650		0	_aLaplacian matrices.
650		7	_aCOMPUTERS / Operating Systems / General.
650		7	_aCOMPUTERS / Programming / Algorithms.
650		7	_aCombinatorics.
856			_3Table of contents _uhttps://www.routledge.com/Applications-of-Combinatorial-Matrix-Theory-to-Laplacian-Matrices-of-Graphs/Molitierno/p/book/9781032920078?srsltid=AfmBOorstlOl6x_UUGlL9VaWqRN4nftmXU6yqG2C6RKhZxcDcI8RXUmj#googlePreviewContainer
856			_3Reviews _uhttps://www.goodreads.com/book/show/217317019-applications-of-combinatorial-matrix-theory-to-laplacian-matrices-of-gra#CommunityReviews
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