Extremal metrics on graphs I

Forum Mathematicum

Volumn 14, Issue 1, 2002, Pages 147-163

  Jakobson, Dmitry ^a   Rivin, Igor ^b,c  

^a UNIVERSITY OF CHICAGO   (United States)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

^c Temple University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036104165     PISSN: 09337741     EISSN: None     Source Type: Journal    
DOI: 10.1515/form.2002.002     Document Type: Article

References (14)

1. [Big93] Biggs, N.: Algebraic graph theory (2nd ed). Cambridge Univ. Press, 1993
2. [Bol98] Bollobás, B.: Modem Graph Theory. Springer Verlag, New York 1998
3. [Bou] Bouwer, I.: On edge but not vertex transitive regular graphs. J. Comb. Th. B, 12:32-40, 1972
4. [Dav57] Davis, C.: All convex invariant functions of hermitian matrices. Arch. Math. 8 (1957), 276-278
5. [Fie] Fiedler, M.: Some minimax problems for graphs. Discr. Math. 121:65-74, 1993
6. [Fos] Foster, R.: The average impedance of an electrical network. Contrib. to Applied. Mechanics (Reissner Ann. Volume), Edwards Bros, 333-340, 1949
7. [GS53] Garabedian, P., Schiffer, M.: Convexity of domain functionals. Journal d'Analyse Math. 2 (1953), 281-368
8. [God81] Godsil, C.: Equiarboreal graphs. Combinatorica 1:163-167, 1981
9. [Kir] Kirchhoff, F.: Über die Auflösung der Gleichungen, auf welche man bei der Untersuchung der linearen Verteilung galvanischer Ströme geführt wird. Ann. Phys. Chem. 72:497-508, 1847
10. [Nil] Nilli, A.: On the second eigenvalue of a graph. Discr. Math. 91:207-210, 1991
11. [OPS] Osgood, B., Phillips, R., Sarnak, P.: Extremals of Determinants of Laplacians. J. Func. Anal, 80:148-211, 1988
12. [Riv99] Rivin, I.: Growth in free groups (and other stories). xxx.lanl.gov preprint math.CO/ 9911076
13. [Sch] Schrijver, A.: Theory of linear and integer programming. John Wiley & Sons, 1990
14. [Val] Valdes, L.: Extremal properties of spanning trees in cubic graphs. Congr. Numer, 85:143-160, 1991