000			02121nam a22003858i 4500
001			CR9781316155158
003			UkCbUP
005			20200124160337.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			140717s2018||||enk o ||1 0|eng|d
020			_a9781316155158 (ebook)
020			_z9781107095458 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050		4	_aQA193 _b.J64 2018
082	0	4	_a512.9/434 _223
100	1		_aJohnson, Charles R., _eauthor.
245	1	0	_aEigenvalues, multiplicities and graphs / _cCharles R. Johnson, Carlos M. Saiago.
264		1	_aCambridge : _bCambridge University Press, _c2018.
300			_a1 online resource (xxii, 291 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v211
500			_aTitle from publisher's bibliographic system (viewed on 12 Feb 2018).
520			_aThe arrangement of nonzero entries of a matrix, described by the graph of the matrix, limits the possible geometric multiplicities of the eigenvalues, which are far more limited by this information than algebraic multiplicities or the numerical values of the eigenvalues. This book gives a unified development of how the graph of a symmetric matrix influences the possible multiplicities of its eigenvalues. While the theory is richest in cases where the graph is a tree, work on eigenvalues, multiplicities and graphs has provided the opportunity to identify which ideas have analogs for non-trees, and those for which trees are essential. It gathers and organizes the fundamental ideas to allow students and researchers to easily access and investigate the many interesting questions in the subject.
650		0	_aEigenvalues.
650		0	_aMatrices.
650		0	_aSymmetric matrices.
650		0	_aTrees (Graph theory)
700	1		_aSaiago, Carlos M., _eauthor.
776	0	8	_iPrint version: _z9781107095458
830		0	_aCambridge tracts in mathematics ; _v211.
856	4	0	_uhttps://doi.org/10.1017/9781316155158
999			_c523185 _d523183