# Algebraic connectivity of trees

Czechoslovak Mathematical Journal (1987)

- Volume: 37, Issue: 4, page 660-670
- ISSN: 0011-4642

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topGrone, Robert, and Merris, Russell. "Algebraic connectivity of trees." Czechoslovak Mathematical Journal 37.4 (1987): 660-670. <http://eudml.org/doc/13675>.

@article{Grone1987,

author = {Grone, Robert, Merris, Russell},

journal = {Czechoslovak Mathematical Journal},

keywords = {symmetric part; Laplacian matrix of a tree; eigenvalue; algebraic connectivity; trees; spectrum; alternating part},

language = {eng},

number = {4},

pages = {660-670},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Algebraic connectivity of trees},

url = {http://eudml.org/doc/13675},

volume = {37},

year = {1987},

}

TY - JOUR

AU - Grone, Robert

AU - Merris, Russell

TI - Algebraic connectivity of trees

JO - Czechoslovak Mathematical Journal

PY - 1987

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 37

IS - 4

SP - 660

EP - 670

LA - eng

KW - symmetric part; Laplacian matrix of a tree; eigenvalue; algebraic connectivity; trees; spectrum; alternating part

UR - http://eudml.org/doc/13675

ER -

## References

top- D. Cvetkovič M. Doob, and H. Sachs, Spectra of Graphs, Academic Press, New York, 1979. (1979) MR0572262
- M. Fiedler, Algebraic connectivity of graphs, Czech. Math. J. 23 (98), 1973, 298-305. (1973) Zbl0265.05119MR0318007
- M. Fiedler, Eigenvalues of acyclic matrices, Czech. Math. J. 25 {100), 1975, 607-618. (1975) MR0387308
- M. Fiedler, A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory, Czech. Math. J. 25 (100), 1975, 619-633. (1975) Zbl0437.15004MR0387321
- R. Merris, Characteristic vertices of trees, Linear/Multilinear Algebra, to appear. Zbl0636.05021MR0936566
- С Moler, MATLAB, CSUC CYBER, Los Angeles. Zbl1059.68162

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