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Preliminaries

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Graphs and Matrices

Part of the book series: Universitext ((UTX))

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In this chapter we review certain basic concepts from linear algebra. We consider only real matrices. Although our treatment is self-contained, the reader is assumed to be familiar with the basic operations on matrices. Relevant concepts and results are given, although we omit proofs.

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References and Further Reading

  1. R.B. Bapat, Linear Algebra and Linear Models, Second ed., Hindustan Book Agency, New Delhi, and Springer, Heidelberg, 2000.

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  2. Adi Ben-Israel and Thomas N.E. Greville, Generalized Inverses. Theory and Applications, Second ed., Springer, New York, 2003.

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  3. J.A. Bondy and U.S.R. Murty, Graph Theory, Graduate Texts in Mathematics, 244, Springer, New York, 2008.

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  4. S.L. Campbell and C.D. Meyer, Generalized Inverses of Linear Transformation, Pitman, 1979.

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  5. R.A. Horn and C.R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, 1985.

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  6. D. West, Introduction to Graph Theory, Second ed., Prentice-Hall, India, 2002.

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(2010). Preliminaries. In: Graphs and Matrices. Universitext. Springer, London. https://doi.org/10.1007/978-1-84882-981-7_1

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