Metrically regular square of metrically regular bigraphs. I

Vladimír Vetchý

Archivum Mathematicum (1991)

  • Volume: 027, Issue: 3-4, page 183-197
  • ISSN: 0044-8753

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Vetchý, Vladimír. "Metrically regular square of metrically regular bigraphs. I." Archivum Mathematicum 027.3-4 (1991): 183-197. <http://eudml.org/doc/18330>.

@article{Vetchý1991,
author = {Vetchý, Vladimír},
journal = {Archivum Mathematicum},
keywords = {metrically regular square; line graph; association scheme; spectra; powers; metrically regular bipartite graphs; eigenvalues},
language = {eng},
number = {3-4},
pages = {183-197},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Metrically regular square of metrically regular bigraphs. I},
url = {http://eudml.org/doc/18330},
volume = {027},
year = {1991},
}

TY - JOUR
AU - Vetchý, Vladimír
TI - Metrically regular square of metrically regular bigraphs. I
JO - Archivum Mathematicum
PY - 1991
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 027
IS - 3-4
SP - 183
EP - 197
LA - eng
KW - metrically regular square; line graph; association scheme; spectra; powers; metrically regular bipartite graphs; eigenvalues
UR - http://eudml.org/doc/18330
ER -

References

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  1. L. Bauer, Association Schemes I, Arch. Math. Brno 17 (1981), 173-184. (1981) Zbl0479.05020MR0672657
  2. R.C. Bose T. Shimamoto, Classification and analysis of partially balanced incomplete block design with two association classes, J. Amer. Stat. Assn. 47 (1952), 151-184. (1952) MR0048772
  3. R. C Bose D. M. Messner, On linear associative algebras corresponding to association schemes of partially balanced designs, Ann. Math. Statist. 30 (1959), 21-36. (1959) MR0102157
  4. L. Collatz U. Sinogowitz, Spektren endlicher Graphen, Abh. Math. Sem. Univ. Hamburg 21 (1957), 63-77. (1957) MR0087952
  5. D. M. Cvetković, Graphs and their spectra, Univ. Beograd Publ. Elektroteh. Fak., Ser. Mat. Fiz., No. 354 - No. 356 (1971), 1-50. (1971) MR0299508
  6. D. M. Cvetković M. Doob H. Sachs, Spectra of graphs, Deutscher Verlag der Wissenchaften, Berlin, 1980. (1980) MR0572262
  7. D. M. Cvetković M. Doob, Root systems, forbidden subgraphs and spectral characterization of line graphs, Proceedings of the Fourth Yugoslav Seminar on Graph Theory, Novi Sad, 1983. (1983) 
  8. M. Doob, Graphs with a small number of distinct eigenvalues, Ann. New York Acad. Sci. 175 (1970), 1, 104-110. (1970) Zbl0241.05112MR0263674
  9. A. J. Hoffman, On the polynomial of a graph, Amer. Math. Monthly 70 (1963), 30-36. (1963) Zbl0112.14901MR0156333
  10. H. A. Jung, Zu einem Isomorphiesatz von Whitney für Graphen, Math. Ann. 164 (1966), 270-271. (1966) MR0197353
  11. H. Sachs, Über selbstkomplementäre Graphen, Publ. Math. Debrecen 9 (1962), 270-288. (1962) Zbl0119.18904MR0151953
  12. H. Sachs, Über Teiler, Faktoren und charakteristische Polynome von Graphen, Teil II., Wiss. Z. TH Ilmenau 13 (1967), 405-412. (1967) Zbl0162.27803MR0245466
  13. J. H. Smith, Some properties of the spectrum of a graph, Comb.Struct, and their Applic., Gordon and Breach, Sci. Publ. Inc., New York-London-Paris 1970, 403-406. (1970) Zbl0249.05136MR0266799

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