The lattice of integral flows and the lattice of integral cuts on a finite graph
Roland Bacher; Pierre de La Harpe; Tatiana Nagnibeda
Bulletin de la Société Mathématique de France (1997)
- Volume: 125, Issue: 2, page 167-198
- ISSN: 0037-9484
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topBacher, Roland, La Harpe, Pierre de, and Nagnibeda, Tatiana. "The lattice of integral flows and the lattice of integral cuts on a finite graph." Bulletin de la Société Mathématique de France 125.2 (1997): 167-198. <http://eudml.org/doc/87761>.
@article{Bacher1997,
author = {Bacher, Roland, La Harpe, Pierre de, Nagnibeda, Tatiana},
journal = {Bulletin de la Société Mathématique de France},
keywords = {integral flows; integral lattice; Jacobians},
language = {eng},
number = {2},
pages = {167-198},
publisher = {Société mathématique de France},
title = {The lattice of integral flows and the lattice of integral cuts on a finite graph},
url = {http://eudml.org/doc/87761},
volume = {125},
year = {1997},
}
TY - JOUR
AU - Bacher, Roland
AU - La Harpe, Pierre de
AU - Nagnibeda, Tatiana
TI - The lattice of integral flows and the lattice of integral cuts on a finite graph
JO - Bulletin de la Société Mathématique de France
PY - 1997
PB - Société mathématique de France
VL - 125
IS - 2
SP - 167
EP - 198
LA - eng
KW - integral flows; integral lattice; Jacobians
UR - http://eudml.org/doc/87761
ER -
References
top- [Ber] BERMAN (K.A.). — Bicycles and Spanning Trees, SIAM J. Alg. Disc. Meth., t. 7, 1986, p. 1-12. Zbl0588.05016MR87d:05103
- [Bi1] BIGGS (N.). — Algebraic Graph Theory. — Cambridge University Press, 1974 (Second Edition 1993). Zbl0284.05101MR50 #151
- [Bi2] BIGGS (N.). — Homological Coverings of Graphs, J. London Math. Soc (2), t. 30, 1984, p. 1-14. Zbl0518.05038MR86e:05050
- [Bi3] BIGGS (N.). — The Potential of Potential Theory, Preprint, London School of Economics, 1994, Preprint to appear in the volume "The Future of Graph Theory".
- [Bi4] BIGGS (N.). — Algebraic Potential Theory on Graphs, Bull. London Math. Soc., to appear. Zbl0892.05033
- [Bol] BOLLOBAS (B.). — Extremal Graph Theory. — Academic Press, 1978. Zbl0419.05031MR80a:05120
- [Bor] BOREL (A.). — Cohomologie de certains groupes discrets et laplacien p-adique, Séminaire Bourbaki, t. 437, 1973/1974. Zbl0376.22009
- [Bou] BOURBAKI (N.). — Algèbre, chapitres 4 à 7. — Masson, 1981. Zbl0498.12001
- [BCN] BROUWER (A.E.), COHEN (A.M.) and NEUMAIER (A.). — Distance Regular Graphs. — Springer-Verlag, 1989. Zbl0747.05073MR90e:05001
- [BVE] BROUWER (A.E.) and VAN EIJL (C.A.). — On the p-rank of the adjacency matrices of strongly regular graphs, J. Alg. Combinatorics, t. 1, 1992, p. 329-346. Zbl0780.05039MR94b:05217
- [BrR] BRUALDI (R.) and RYSER (H.J.). — Combinatorial Matrix Theory. — Cambridge Univ. Press, 1991. Zbl0746.05002MR93a:05087
- [BrO] BRYLAWSKI (T.) and J. Oxley. — The Tutte Polynomial and its Applications, in "Matroid Applications", N. White Ed., Cambridge University Press, 1992, p. 123-225. Zbl0769.05026MR93k:05060
- [CoS] CONWAY (J.H.) and N.J.A. Sloane. — Sphere Packings, Lattices and Groups. — Springer-Verlag, 1991.
- [CDS] CVETKOVIC (D.M.), DOOB (M.) and SACHS (H.). — Spectra of Graphs. — Academic Press, 1980. MR81i:05054
- [Dix] DIXMIER (J.). — Les C*-algèbres et leurs représentations, 2e édition. — Gauthier-Villars, 1969. Zbl0174.18601
- [Eck] ECKMANN (B.). — Harmonische Funktionen und Radwertaufgaben in einem Komplex, Comment. Math. Helv., t. 17, 1944/1945, p. 240-255. Zbl0061.41106MR7,138f
- [Ker] KERVAIRE (M.). — Unimodular Lattices with a Complete Root System, L'Enseignement mathématique, t. 40, 1994, p. 59-104. Zbl0808.11024MR95g:11063
- [Mar] MARGOLIN (R.S.). — Representations of M12, J. Algebra, t. 156, 1993, p. 362-369. Zbl0791.20009MR94c:20029
- [Nar] NARASIMHAN (R.). — Compact Riemann Surfaces. — Birkhäuser, 1992. Zbl0758.30002MR93j:30049
- [OdS] ODA (T.), SESHADRI (C.S.). — Compactification of the Generalized Jacobian Variety, Trans. AMS, t. 253, 1979, p. 1-90. Zbl0418.14019MR82e:14054
- [Oxl] OXLEY (J.G.). — Matroid Theory. — Oxford University Press, 1992. Zbl0784.05002MR94d:05033
- [Rot] ROTMAN (J.J.). — An Introduction to Algebraic Topology. — Springer, 1988. Zbl0661.55001MR90e:55001
- [Sch] SCHARLAU (W.). — Quadratic and Hermitian Forms. — Springer-Verlag, 1985. Zbl0584.10010MR86k:11022
- [Ser] SERRE (J.-P.). — Arbres, amalgames, SL2. — Astérique, t. 46, Soc. Math. France, 1977. Zbl0369.20013
- [VLW] VAN LINT (J.H.) and WILSON (R.M.). — A Course in Combinatorics. — Cambridge University Press, 1992. Zbl0769.05001
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