메뉴 건너뛰기




Volumn 11, Issue 3, 2000, Pages 197-210

Roots of Independence Polynomials of Well Covered Graphs

Author keywords

Graph; Independence; Polynomial; Root; Well covered

Indexed keywords


EID: 0013528487     PISSN: 09259899     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008705614290     Document Type: Article
Times cited : (71)

References (32)
  • 2
    • 0242318663 scopus 로고
    • The vertex independence sequence of a graph is not constrained
    • Y. Alavi, P. Malde, A.J. Schwenk, and P. Erdös, "The vertex independence sequence of a graph is not constrained," Congr. Numer. 58 (1987), 15-23.
    • (1987) Congr. Numer. , vol.58 , pp. 15-23
    • Alavi, Y.1    Malde, P.2    Schwenk, A.J.3    Erdös, P.4
  • 3
    • 0003143224 scopus 로고
    • On the Eneström-Kakeya theorem and its sharpness
    • N. Anderson, E.B. Saff, and R.S. Varga, "On the Eneström-Kakeya theorem and its sharpness," Lin. Alg. Appl. 28 (1979), 5-16.
    • (1979) Lin. Alg. Appl. , vol.28 , pp. 5-16
    • Anderson, N.1    Saff, E.B.2    Varga, R.S.3
  • 4
    • 0004059878 scopus 로고
    • Springer-Verlag, New York
    • E.J. Barbeau, Polynomials, Springer-Verlag, New York, 1989.
    • (1989) Polynomials
    • Barbeau, E.J.1
  • 5
    • 0042277086 scopus 로고
    • Roots of the reliability polynomial
    • J.I. Brown and C.J. Colbourn, "Roots of the reliability polynomial," SIAM J. Disc. Math. 5 (1992), 571-585.
    • (1992) SIAM J. Disc. Math. , vol.5 , pp. 571-585
    • Brown, J.I.1    Colbourn, C.J.2
  • 6
    • 0348021601 scopus 로고
    • On the log concavity of reliability and matroidal sequences
    • J.I. Brown and C.J. Colbourn, "On the log concavity of reliability and matroidal sequences," Adv. Appl. Math. 15 (1994), 114-127.
    • (1994) Adv. Appl. Math. , vol.15 , pp. 114-127
    • Brown, J.I.1    Colbourn, C.J.2
  • 10
    • 84986437324 scopus 로고
    • Lower bounds on the number of triangles in a graph
    • D.C. Fisher, "Lower bounds on the number of triangles in a graph," J. Graph Th. 13 (1989), 505-512.
    • (1989) J. Graph Th. , vol.13 , pp. 505-512
    • Fisher, D.C.1
  • 11
    • 0012878179 scopus 로고
    • Bounds on the number of complete subgraphs
    • D.C. Fisher and J. Ryan, "Bounds on the number of complete subgraphs," Disc. Math. 103 (1992), 313-320.
    • (1992) Disc. Math. , vol.103 , pp. 313-320
    • Fisher, D.C.1    Ryan, J.2
  • 12
    • 0000224720 scopus 로고
    • Dependence Polynomials
    • D.C. Fisher and A.E. Solow, "Dependence Polynomials," Disc. Math. 82 (1990), 251-258.
    • (1990) Disc. Math. , vol.82 , pp. 251-258
    • Fisher, D.C.1    Solow, A.E.2
  • 13
    • 0013498816 scopus 로고
    • Real graph polynomials
    • Academic Press, Toronto
    • C. Godsil, "Real graph polynomials," Progress in Graph Theory, Academic Press, Toronto, 1984, pp. 281-293.
    • (1984) Progress in Graph Theory , pp. 281-293
    • Godsil, C.1
  • 14
    • 0000668731 scopus 로고
    • On the theory of matching polynomials
    • C.D. Godsil and I. Gutman, "On the theory of matching polynomials," J. Graph Theory 5 (1981), 137-144.
    • (1981) J. Graph Theory , vol.5 , pp. 137-144
    • Godsil, C.D.1    Gutman, I.2
  • 15
    • 0348021598 scopus 로고
    • An identity for the independence polynomials of trees
    • I. Gutman, "An identity for the independence polynomials of trees," Publ. Inst. Math. (Beograd) (N.S.) 50 (1991), 19-23.
    • (1991) Publ. Inst. Math. (Beograd) (N.S.) , vol.50 , pp. 19-23
    • Gutman, I.1
  • 16
    • 0346760516 scopus 로고
    • Independent vertex sets in some compound graphs
    • I. Gutman, "Independent vertex sets in some compound graphs," Publ. Inst. Math. (Beograd) (N.S.) 66 (1992), 5-9.
    • (1992) Publ. Inst. Math. (Beograd) (N.S.) , vol.66 , pp. 5-9
    • Gutman, I.1
  • 17
    • 0013528488 scopus 로고
    • Some analytic properties of the independence and matching polynomials
    • I. Gutman, "Some analytic properties of the independence and matching polynomials," Match 28 (1992), 139-150.
    • (1992) Match , vol.28 , pp. 139-150
    • Gutman, I.1
  • 18
    • 0038284439 scopus 로고
    • Generalizations of the matching polynomial
    • I. Gutman and F. Harary, "Generalizations of the matching polynomial," Utilitas Math. 24 (1983), 97-106.
    • (1983) Utilitas Math. , vol.24 , pp. 97-106
    • Gutman, I.1    Harary, F.2
  • 19
    • 0008334799 scopus 로고
    • On the number of independent k-sets in a claw free graph
    • Y.O. Hamidoune, "On the number of independent k-sets in a claw free graph," J. Combin. Theory B 50 (1990), 241-244.
    • (1990) J. Combin. Theory B , vol.50 , pp. 241-244
    • Hamidoune, Y.O.1
  • 21
    • 0012324234 scopus 로고
    • Clique polynomials and independent set polynomials of graphs
    • C. Hoede and X. Li, "Clique polynomials and independent set polynomials of graphs," Discrete Math. 125 (1994), 219-228.
    • (1994) Discrete Math. , vol.125 , pp. 219-228
    • Hoede, C.1    Li, X.2
  • 22
    • 0346129873 scopus 로고
    • Über die Wurzeln einiger transcendenter Gleichungen
    • A. Hurwitz, "Über die Wurzeln einiger transcendenter Gleichungen," Mitteilungen Math. Ges. Hamburg 2 (1890), 25-31. Also in Mathematische Werke, Band 1, Birkäuser Verlag, Basel, 1962, pp. 299-305.
    • (1890) Mitteilungen Math. Ges. Hamburg , vol.2 , pp. 25-31
    • Hurwitz, A.1
  • 23
    • 0348021600 scopus 로고
    • Birkäuser Verlag, Basel
    • A. Hurwitz, "Über die Wurzeln einiger transcendenter Gleichungen," Mitteilungen Math. Ges. Hamburg 2 (1890), 25-31. Also in Mathematische Werke, Band 1, Birkäuser Verlag, Basel, 1962, pp. 299-305.
    • (1962) Mathematische Werke , vol.1 , pp. 299-305
  • 24
    • 0346129874 scopus 로고
    • On the unimodality of the independent set numbers of a class of matroids
    • C. Mahoney, "On the unimodality of the independent set numbers of a class of matroids," J. Combin. Theory Ser. B 39 (1985), 77-85.
    • (1985) J. Combin. Theory Ser. B , vol.39 , pp. 77-85
    • Mahoney, C.1
  • 26
    • 0010784122 scopus 로고
    • Matroids: Unimodal conjectures and Motzkin's theorem
    • D.J.A. Welsh and D.R. Woodall (Eds.), London Math Soc., London
    • J.H. Mason, "Matroids: unimodal conjectures and Motzkin's theorem," in Combinatorics, D.J.A. Welsh and D.R. Woodall (Eds.), London Math Soc., London, 1972, pp. 207-221.
    • (1972) Combinatorics , pp. 207-221
    • Mason, J.H.1
  • 27
    • 0346129870 scopus 로고    scopus 로고
    • Polynomial invariants of graphs II
    • S. Negami and K. Ota, "Polynomial invariants of graphs II," Graphs and Combin. 12 (1996), 189-198.
    • (1996) Graphs and Combin. , vol.12 , pp. 189-198
    • Negami, S.1    Ota, K.2
  • 28
    • 0003034145 scopus 로고
    • Some covering concepts in graphs
    • M.D. Plummer, "Some covering concepts in graphs," J. Combin. Theory 8 (1970), 91-98.
    • (1970) J. Combin. Theory , vol.8 , pp. 91-98
    • Plummer, M.D.1
  • 29
    • 0000851021 scopus 로고
    • Well-covered graphs: A survey
    • M.D. Plummer, "Well-covered graphs: a survey," Quaestiones Math. 8 (1993), 91-98.
    • (1993) Quaestiones Math. , vol.8 , pp. 91-98
    • Plummer, M.D.1
  • 30
    • 0002461816 scopus 로고
    • Chromatic polynomials
    • L.W Beineke and R.J. Wilson (Eds.), Academic Press, New York
    • R.C. Read and W.T. Tutte, "Chromatic polynomials," in Selected Topics in Graph Theory 3, L.W Beineke and R.J. Wilson (Eds.), Academic Press, New York, 1988, pp. 15-42.
    • (1988) Selected Topics in Graph Theory 3 , pp. 15-42
    • Read, R.C.1    Tutte, W.T.2
  • 31
    • 0002876380 scopus 로고
    • Two combinatorial applications of the Aleksandrov-Fenchel inequalities
    • R.P. Stanley, "Two combinatorial applications of the Aleksandrov-Fenchel inequalities," J. Combin. Theory Ser. A 31 (1981), 56-65.
    • (1981) J. Combin. Theory Ser. A , vol.31 , pp. 56-65
    • Stanley, R.P.1
  • 32
    • 0346760515 scopus 로고
    • Combinatorial problems in matroid theory
    • Academic Press, New York
    • D.J.A. Welsh, "Combinatorial problems in matroid theory," Combinatorial Mathematics and its Applications, Academic Press, New York, 1971, pp. 291-307.
    • (1971) Combinatorial Mathematics and Its Applications , pp. 291-307
    • Welsh, D.J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.