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100 1 _aBapat, R. B.
245 1 0 _aGraphs and matrices
_cR.B. Bapat.
250 _a2nd ed.
260 _aNew Delhi :
_bHindustan Book Agency,
_c©2014.
300 _aix, 193 p. :
_bill. ;
_c25 cm.
440 _aTexts and readings in mathematics, No.58.
504 _aIncludes bibliographical references and index.
505 0 _aPreliminaries -- Incidence matrix -- Adjacency matrix -- Laplacian matrix -- Cycles and cuts -- Regular graphs -- Algebraic connectivity -- Distance matrix of a tree -- Resistance distance -- Laplacian eigenvalues of threshold graphs -- Positive definite completion problem -- Matrix games based on graphs.
520 _aThis book illustrates the elegance and power of matrix techniques in the study of graphs by means of several results, both classical and recent. The emphasis on matrix techniques is greater than other standard references on algebraic graph theory, and the important matrices associated with graphs such as incidence, adjacency, and Laplacian matrices are treated in detail.
650 0 _aGraph theory.
650 0 _aMatrices.
650 0 7 _aGraphentheorie.
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