메뉴 건너뛰기




Volumn 11, Issue , 2002, Pages 53-62

The Isoperimetric Number and The Bisection Width of Generalized Cylinders

Author keywords

array; bisection width; edge separator; Isoperimetric number; torus

Indexed keywords


EID: 1242329100     PISSN: 15710653     EISSN: 15710653     Source Type: Journal    
DOI: 10.1016/S1571-0653(04)00054-X     Document Type: Article
Times cited : (6)

References (16)
  • 1
    • 0042142309 scopus 로고
    • Edge-isoperimetric theorems for integer point arrays
    • Ahlswede R., and Bezrukov S.L. Edge-isoperimetric theorems for integer point arrays. Appl. Math. Letters 8 2 (1995) 75-80
    • (1995) Appl. Math. Letters , vol.8 , Issue.2 , pp. 75-80
    • Ahlswede, R.1    Bezrukov, S.L.2
  • 2
    • 25544455886 scopus 로고    scopus 로고
    • Isoperimetric number of the Cartesian product of graphs and paths
    • Azizoǧlu M.C., and Eǧecioǧlu Ö. Isoperimetric number of the Cartesian product of graphs and paths. Congressus Numerantium 131 (1998) 135-143
    • (1998) Congressus Numerantium , vol.131 , pp. 135-143
    • Azizoǧlu, M.C.1    Eǧecioǧlu, Ö.2
  • 4
    • 34247095722 scopus 로고    scopus 로고
    • M. C. Azizoǧlu and Ö. Eǧecioǧlu. Extremal sets minimizing dimension-normalized boundary in Hamming graphs, Technical Report TRCS00-11, Computer Science Department, University of California, Santa Barbara, 2000.
  • 6
    • 0003386622 scopus 로고    scopus 로고
    • Edge isoperimetric problems on graphs
    • Lovasz L., Gyarfas A., Katona G.O.H., Recski A., and Szekely L. (Eds), Soc. Math. Stud, Bolyai
    • Bezrukov S.L. Edge isoperimetric problems on graphs. In: Lovasz L., Gyarfas A., Katona G.O.H., Recski A., and Szekely L. (Eds). Graph Theory and Combinatorial Biology Number 7 (1999), Soc. Math. Stud, Bolyai 157-197
    • (1999) Graph Theory and Combinatorial Biology , vol.Number 7 , pp. 157-197
    • Bezrukov, S.L.1
  • 7
    • 0005931492 scopus 로고
    • An isoperimetric inequality on the discrete torus
    • Bollobäs B., and Leader I. An isoperimetric inequality on the discrete torus. SIAM J. Disc. Math 3 1 (1990) 32-37
    • (1990) SIAM J. Disc. Math , vol.3 , Issue.1 , pp. 32-37
    • Bollobäs, B.1    Leader, I.2
  • 8
    • 0000748606 scopus 로고
    • Edge-isoperimetric inequalities in the grid
    • Bollobás B., and Leader I. Edge-isoperimetric inequalities in the grid. Combinatorica 11 4 (1991) 299-314
    • (1991) Combinatorica , vol.11 , Issue.4 , pp. 299-314
    • Bollobás, B.1    Leader, I.2
  • 9
    • 34247162379 scopus 로고    scopus 로고
    • F.R.K. Chung. Spectral Graph Theory, (AMS Regional Conference Series in Mathematics, 92, 1997).
  • 10
    • 0032400054 scopus 로고    scopus 로고
    • Isoperimetric inequalities for Cartesian products of graphs
    • Chung F.R.K., and Tetali P. Isoperimetric inequalities for Cartesian products of graphs. Combinatorics, Probability & Computing 7 2 (1998) 141-148
    • (1998) Combinatorics, Probability & Computing , vol.7 , Issue.2 , pp. 141-148
    • Chung, F.R.K.1    Tetali, P.2
  • 11
    • 0001394447 scopus 로고
    • Optimal assignment of numbers to vertices
    • Harper L.H. Optimal assignment of numbers to vertices. J. Soc. Ind. Appl. Math 12 1 (1964) 131-135
    • (1964) J. Soc. Ind. Appl. Math , vol.12 , Issue.1 , pp. 131-135
    • Harper, L.H.1
  • 12
    • 34247149493 scopus 로고    scopus 로고
    • I. Leader. Personal communication, April 2000
  • 14
    • 0039266344 scopus 로고
    • Assignment of numbers to vertices
    • Lindsey II J.H. Assignment of numbers to vertices. Amer. Math. Monthly 7 (1964) 508-516
    • (1964) Amer. Math. Monthly , vol.7 , pp. 508-516
    • Lindsey II, J.H.1
  • 15
    • 0001649842 scopus 로고
    • Isoperimetric numbers of graphs
    • Mohar B. Isoperimetric numbers of graphs. J. of Comb. Theory Series B 47 (1989) 274-291
    • (1989) J. of Comb. Theory Series B , vol.47 , pp. 274-291
    • Mohar, B.1
  • 16
    • 85028471462 scopus 로고
    • Linear layouts of generalized hypercubes
    • van Leeuwen J. (Ed), Springer-Verlag 364-375
    • Nakano K. Linear layouts of generalized hypercubes. In: van Leeuwen J. (Ed). Graph-Theoretic Concepts in Computer Science (1993), Springer-Verlag 790 364-375
    • (1993) Graph-Theoretic Concepts in Computer Science , pp. 790
    • Nakano, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.