메뉴 건너뛰기




Volumn 309, Issue 16, 2009, Pages 5120-5129

Random maximal independent sets and the unfriendly theater seating arrangement problem

Author keywords

Asymptotic limit; Expected size; Maximal independent set; Random seating arrangement

Indexed keywords

ASYMPTOTIC LIMIT; ASYMPTOTIC LIMITS; EXPECTED SIZE; LINEAR ADSORPTION; MAXIMAL INDEPENDENT SET; MONTE CARLO SIMULATION; RANDOM SEATING ARRANGEMENT;

EID: 67651151077     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.disc.2009.03.049     Document Type: Article
Times cited : (13)

References (19)
  • 1
    • 0012098239 scopus 로고    scopus 로고
    • Planar lattice gases with nearest-neighbour exclusion
    • Baxter R.J. Planar lattice gases with nearest-neighbour exclusion. Ann. Comb. 3 (1999) 191-203
    • (1999) Ann. Comb. , vol.3 , pp. 191-203
    • Baxter, R.J.1
  • 2
    • 0037013157 scopus 로고    scopus 로고
    • Critical and tricritical hard objects on bicolorable random lattices: Exact solutions
    • Also available at: arXiv:cond-mat/0201213
    • Bouttier J., Francesco P.D., and Guitte E. Critical and tricritical hard objects on bicolorable random lattices: Exact solutions. J. Phys. A 35 (2002) 3821-3854 Also available at: arXiv:cond-mat/0201213
    • (2002) J. Phys. A , vol.35 , pp. 3821-3854
    • Bouttier, J.1    Francesco, P.D.2    Guitte, E.3
  • 3
    • 18744377552 scopus 로고    scopus 로고
    • Combinatorics of hard particles on planar graphs
    • Also available at: arXiv:math/0501344v2
    • Bouttier J., Francesco P.D., and Guitte E. Combinatorics of hard particles on planar graphs. J. Phys. A 38 (2005) 4529-4559 Also available at: arXiv:math/0501344v2
    • (2005) J. Phys. A , vol.38 , pp. 4529-4559
    • Bouttier, J.1    Francesco, P.D.2    Guitte, E.3
  • 4
    • 0002555497 scopus 로고    scopus 로고
    • The number of independent sets in a grid graph
    • Calkin N.J., and Wilf H.S. The number of independent sets in a grid graph. SIAM J. Discret. Math. 11 1 (1998) 54-60
    • (1998) SIAM J. Discret. Math. , vol.11 , Issue.1 , pp. 54-60
    • Calkin, N.J.1    Wilf, H.S.2
  • 5
    • 0000319487 scopus 로고
    • Parking arcs on the circle with applications to one-dimensional communication networks
    • Coffman E.G., Mallows C.L., and Poonen B. Parking arcs on the circle with applications to one-dimensional communication networks. Ann. Appl. Probab. 4 4 (1994) 1098-1111
    • (1994) Ann. Appl. Probab. , vol.4 , Issue.4 , pp. 1098-1111
    • Coffman, E.G.1    Mallows, C.L.2    Poonen, B.3
  • 6
    • 0002116251 scopus 로고
    • On the Fibonacci number of an m × n lattice
    • Engel K. On the Fibonacci number of an m × n lattice. Fibonacci Quart. (1990) 72-78
    • (1990) Fibonacci Quart. , pp. 72-78
    • Engel, K.1
  • 7
    • 21244473233 scopus 로고    scopus 로고
    • The Fibonacci number of a grid graph and a new class of integer sequences
    • Article 05.2.6
    • Euler R. The Fibonacci number of a grid graph and a new class of integer sequences. J. Integer Seq. 8 (2005) Article 05.2.6
    • (2005) J. Integer Seq. , vol.8
    • Euler, R.1
  • 8
    • 33646320755 scopus 로고
    • Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten
    • Fekete M. Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten. Math. Z. 17 (1923) 228-249
    • (1923) Math. Z. , vol.17 , pp. 228-249
    • Fekete, M.1
  • 9
    • 67651195110 scopus 로고    scopus 로고
    • Several constants arising in statistical mechanics
    • Finch S.R. Several constants arising in statistical mechanics. Ann. Comb. (1999) 323-335
    • (1999) Ann. Comb. , pp. 323-335
    • Finch, S.R.1
  • 10
    • 67651178590 scopus 로고    scopus 로고
    • P. Flajolet, A seating arrangement problem, (Accessed in 2007) (January 15, 2007). URL: http://algo.inria.fr/libraries/autocomb/fatmen-html/fatmen1.html
    • P. Flajolet, A seating arrangement problem, (Accessed in 2007) (January 15, 2007). URL: http://algo.inria.fr/libraries/autocomb/fatmen-html/fatmen1.html
  • 11
    • 0009147488 scopus 로고
    • An unfriendly seating arrangement (problem 62-3)
    • Freedman D., and Shepp L. An unfriendly seating arrangement (problem 62-3). SIAM Rev. 4 2 (1962) 150
    • (1962) SIAM Rev. , vol.4 , Issue.2 , pp. 150
    • Freedman, D.1    Shepp, L.2
  • 12
    • 67651192087 scopus 로고
    • Solution to: An unfriendly seating arrangement (problem 62-3)
    • Friedman H.D., and Rothman D. Solution to: An unfriendly seating arrangement (problem 62-3). SIAM Rev. 6 2 (1964) 180-182
    • (1964) SIAM Rev. , vol.6 , Issue.2 , pp. 180-182
    • Friedman, H.D.1    Rothman, D.2
  • 14
    • 0043088752 scopus 로고
    • Sequential filling of a line by intervals placed at random and its application to linear adsorption
    • MacKenzie J.K. Sequential filling of a line by intervals placed at random and its application to linear adsorption. J. Chem. Phys. 37 4 (1962) 723-728
    • (1962) J. Chem. Phys. , vol.37 , Issue.4 , pp. 723-728
    • MacKenzie, J.K.1
  • 16
    • 0000409044 scopus 로고
    • On a one-dimensional problem concerning random space-filling
    • Rényi A. On a one-dimensional problem concerning random space-filling. Publ. Math. Inst. Hung. Acad. Sci. 3 (1958) 109-127
    • (1958) Publ. Math. Inst. Hung. Acad. Sci. , vol.3 , pp. 109-127
    • Rényi, A.1
  • 18
    • 42749099928 scopus 로고    scopus 로고
    • Critical and tricritical hard objects on bicolorable random lattices: Exact solutions
    • 1-10
    • Stillinger F.H., Sakai H., and Torquato S. Critical and tricritical hard objects on bicolorable random lattices: Exact solutions. Phys. Rev. E 67 (2003) 031107 1-10
    • (2003) Phys. Rev. E , vol.67 , pp. 031107
    • Stillinger, F.H.1    Sakai, H.2    Torquato, S.3
  • 19
    • 0242306111 scopus 로고    scopus 로고
    • Breakdown of elasticity theory for jammed hard-particle packings: Conical nonlinear constitutive theory
    • Torquato S., Donev A., and Stillinger F. Breakdown of elasticity theory for jammed hard-particle packings: Conical nonlinear constitutive theory. Internat. J. Solids Struct. 40 (2003) 7143-7153
    • (2003) Internat. J. Solids Struct. , vol.40 , pp. 7143-7153
    • Torquato, S.1    Donev, A.2    Stillinger, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.