메뉴 건너뛰기




Volumn 4, Issue , 1999, Pages 1-12

Improved inclusion-exclusion identities and inequalities based on a particular class of abstract tubes

Author keywords

Abstract simplicial complex; Abstract tube; Bonferroni inequalities; Broken circuit complex; Chain; Chromatic polynomial; Dynamic programming; Graph coloring; Inclusion exclusion; Network reliability; Partial order; Sieve formula

Indexed keywords


EID: 0003228094     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v4-42     Document Type: Article
Times cited : (14)

References (17)
  • 1
    • 0002741878 scopus 로고
    • A determinant formula for the number of ways of coloring a map
    • G. D. BIRKHOFF, A determinant formula for the number of ways of coloring a map, Ann. Math. 14 (1912), 42-46.
    • (1912) Ann. Math. , vol.14 , pp. 42-46
    • Birkhoff, G.D.1
  • 3
    • 0002215521 scopus 로고    scopus 로고
    • Inclusion-exclusion and network reliability
    • paper no. 36
    • K. Dohmen, Inclusion-exclusion and network reliability, Electron. J. Combin. 5 (1998), paper no. 36. [Internet: http://www.combinatorics.org]
    • (1998) Electron. J. Combin , pp. 5
    • Dohmen, K.1
  • 5
    • 0039140326 scopus 로고
    • Lower bounds and upper bounds for chromatic polynomials
    • K. Dohmen, Lower bounds and upper bounds for chromatic polynomials, J. Graph Theory 17 (1993), 75-80.
    • (1993) J. Graph Theory , vol.17 , pp. 75-80
    • Dohmen, K.1
  • 6
    • 3042748636 scopus 로고    scopus 로고
    • On partial sums of chromatic polynomials
    • accepted for publication
    • K. Dohmen, On partial sums of chromatic polynomials, Ars Combin., accepted for publication.
    • Ars Combin
    • Dohmen, K.1
  • 8
    • 0042662948 scopus 로고
    • Dynamic programming meets the principle of inclusionexclusion
    • R.M. Karp, Dynamic programming meets the principle of inclusionexclusion, Oper. Res. Lett. 1 (1982), 49-51.
    • (1982) Oper. Res. Lett. , vol.1 , pp. 49-51
    • Karp, R.M.1
  • 9
    • 0013365734 scopus 로고    scopus 로고
    • Graph structure for inclusion-exclusion inequalities
    • T.A. McKee, Graph structure for inclusion-exclusion inequalities, Congr. Numer. 125 (1997), 5-10.
    • (1997) Congr. Numer. , vol.125 , pp. 5-10
    • Mc Kee, T.A.1
  • 10
    • 0031510622 scopus 로고    scopus 로고
    • Abstract tubes, improved inclusionexclusion identities and inequalities and importance sampling
    • D. Q. Naiman and H.P. Wynn, Abstract tubes, improved inclusionexclusion identities and inequalities and importance sampling, Ann. Statist. 25 (1997), 1954-1983.
    • (1997) Ann. Statist. , vol.25 , pp. 1954-1983
    • Naiman, D.Q.1    Wynn, H.P.2
  • 11
    • 0000715979 scopus 로고
    • Principle of inclusion-exclusion on partially ordered sets
    • H. Narushima, Principle of inclusion-exclusion on partially ordered sets, Discrete Math. 42 (1982), 243-250.
    • (1982) Discrete Math , vol.42 , pp. 243-250
    • Narushima, H.1
  • 12
    • 0021432646 scopus 로고
    • Computing network reliability in time polynomial in the number of cuts
    • J.S. Provan and M.O. Ball, Computing network reliability in time polynomial in the number of cuts, Oper. Res. 32 (1984), 516-526.
    • (1984) Oper. Res. , vol.32 , pp. 516-526
    • Provan, J.S.1    Ball, M.O.2
  • 14
    • 0039218501 scopus 로고
    • On the method of inclusion and exclusion
    • L. Takacs, On the method of inclusion and exclusion, J. Amer. Stat. 62 (1967), 102-113.
    • (1967) J. Amer. Stat. , vol.62 , pp. 102-113
    • Takacs, L.1
  • 15
    • 0001161858 scopus 로고
    • Hypertrees and Bonferroni inequalities
    • I. Tomescu, Hypertrees and Bonferroni inequalities, J. Combin. Theory Ser. B 41 (1986), 209-217.
    • (1986) J. Combin. Theory Ser. B , vol.41 , pp. 209-217
    • Tomescu, I.1
  • 16
    • 6244228084 scopus 로고
    • A logical expansion in mathematics
    • H. Whitney, A logical expansion in mathematics, Bull. Amer. Math. Soc. 38 (1932), 572-579.
    • (1932) Bull. Amer. Math. Soc. , vol.38 , pp. 572-579
    • Whitney, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.