메뉴 건너뛰기




Volumn 58, Issue 1, 2008, Pages 49-68

Maximizing the number of independent subsets over trees with bounded degree

Author keywords

D ary trees; Digit expansion; Independent sets; Maximum degree

Indexed keywords

BINARY TREES; BRANCH AND BOUND METHOD; CHARACTERIZATION; MATHEMATICAL MORPHOLOGY; THEOREM PROVING;

EID: 43349105905     PISSN: 03649024     EISSN: 10970118     Source Type: Journal    
DOI: 10.1002/jgt.20294     Document Type: Article
Times cited : (28)

References (21)
  • 3
    • 0003780604 scopus 로고
    • Mathematical concepts in organic chemistry
    • 3 I. Gutman and O. E. Polansky, Mathematical concepts in organic chemistry, Springer‐Verlag, Berlin, 1986.
    • (1986)
    • Gutman, I.1    Polansky, O.E.2
  • 4
    • 43349099418 scopus 로고
    • Another extremal problem for Turán graphs
    • 4 B. Hedman, Another extremal problem for Turán graphs, Discrete Math 65 (2) (1987), 173–176.
    • (1987) Discrete Math , vol.65 , Issue.2 , pp. 173-176
    • Hedman, B.1
  • 5
    • 0010134504 scopus 로고
    • Topological index as a common tool for quantum chemistry, statistical mechanics, and graph theory, in: Ellis Horwood Ser Math Appl
    • 5 H. Hosoya, Topological index as a common tool for quantum chemistry, statistical mechanics, and graph theory, In: Mathematical and computational concepts in chemistry (Dubrovnik, 1985), Ellis Horwood Ser Math Appl, Horwood, Chichester, 1986, pp. 110–123.
    • (1986) , pp. 110-123
    • Hosoya, H.1
  • 6
    • 84867932280 scopus 로고    scopus 로고
    • On acyclic systems with minimal Hosoya index
    • 6 Y. Hou, On acyclic systems with minimal Hosoya index, Discrete Appl Math 119 (3) (2002), 251–257.
    • (2002) Discrete Appl Math , vol.119 , Issue.3 , pp. 251-257
    • Hou, Y.1
  • 7
    • 84867971430 scopus 로고    scopus 로고
    • Superdominance order and distance of trees with bounded maximum degree
    • 7 F. Jelen and E. Triesch, Superdominance order and distance of trees with bounded maximum degree, Discrete Appl Math 125 (2–3) (2003), 225–233.
    • (2003) Discrete Appl Math , vol.125 , Issue.2–3 , pp. 225-233
    • Jelen, F.1    Triesch, E.2
  • 9
    • 25644454277 scopus 로고
    • Fibonacci numbers of graphs. III, Planted plane trees, in: Fibonacci Numbers and Their Applications (Patras, 1984)
    • 9 P. Kirschenhofer, H. Prodinger, and R. F. Tichy, Fibonacci numbers of graphs. III, Planted plane trees, In: Fibonacci Numbers and Their Applications (Patras, 1984), Vol. 28 of Math Appl, Reidel, Dordrecht, 1986, pp. 105–120.
    • (1986) , vol.28 , pp. 105-120
    • Kirschenhofer, P.1    Prodinger, H.2    Tichy, R.F.3
  • 10
    • 0037225809 scopus 로고    scopus 로고
    • The inverse problems for some topological indices in combinatorial chemistry
    • 10 X. Li, Z. Li, and L. Wang, The inverse problems for some topological indices in combinatorial chemistry, J Comput Biol 10 (2003), 47–55.
    • (2003) J Comput Biol , vol.10 , pp. 47-55
    • Li, X.1    Li, Z.2    Wang, L.3
  • 11
    • 29344468280 scopus 로고    scopus 로고
    • On the Merrifield‐Simmons index of trees
    • 11 X. Li, H. Zhao, and I. Gutman, On the Merrifield‐Simmons index of trees, MATCH Commun Math Comput Chem 54 (2) (2005), 389–402.
    • (2005) MATCH Commun Math Comput Chem , vol.54 , Issue.2 , pp. 389-402
    • Li, X.1    Zhao, H.2    Gutman, I.3
  • 12
    • 0039374858 scopus 로고
    • Trees and forests with large and small independent indices
    • 12 S. B. Lin and C. Lin, Trees and forests with large and small independent indices, Chinese J Math 23 (3) (1995), 199–210.
    • (1995) Chinese J Math , vol.23 , Issue.3 , pp. 199-210
    • Lin, S.B.1    Lin, C.2
  • 13
    • 0004295189 scopus 로고
    • Topological Methods in Chemistry
    • 13 R. E. Merrifield and H. E. Simmons, Topological Methods in Chemistry, Wiley, New York, 1989.
    • (1989)
    • Merrifield, R.E.1    Simmons, H.E.2
  • 14
    • 0002042876 scopus 로고
    • Fibonacci numbers of graphs
    • 14 H. Prodinger and R. F. Tichy, Fibonacci numbers of graphs, Fibonacci Quart 20 (1) (1982), 16–21.
    • (1982) Fibonacci Quart , vol.20 , Issue.1 , pp. 16-21
    • Prodinger, H.1    Tichy, R.F.2
  • 15
    • 0039315045 scopus 로고
    • A note on independent sets in trees
    • 15 B. E. Sagan, A note on independent sets in trees, SIAM J Discrete Math 1 (1) (1988), 105–108.
    • (1988) SIAM J Discrete Math , vol.1 , Issue.1 , pp. 105-108
    • Sagan, B.E.1
  • 16
    • 10244263530 scopus 로고    scopus 로고
    • On subtrees of trees
    • 16 L. A. Székely and H. Wang, On subtrees of trees, Adv in Appl Math 34 (1) (2005), 138–155.
    • (2005) Adv in Appl Math , vol.34 , Issue.1 , pp. 138-155
    • Székely, L.A.1    Wang, H.2
  • 17
    • 33751173389 scopus 로고    scopus 로고
    • Binary trees with the largest number of subtrees
    • 17 L. A. Székely and H. Wang, Binary trees with the largest number of subtrees, Discrete Appl Math 155 (3) (2007), 374–385.
    • (2007) Discrete Appl Math , vol.155 , Issue.3 , pp. 374-385
    • Székely, L.A.1    Wang, H.2
  • 18
    • 42149191183 scopus 로고    scopus 로고
    • Algorithmic generation of molecular graphs with large Merrifield‐Simmons index
    • 18 R. F. Tichy and S. G. Wagner, Algorithmic generation of molecular graphs with large Merrifield‐Simmons index, MATCH Commun Math Comput Chem 59 (1) (2008), 239–252.
    • (2008) MATCH Commun Math Comput Chem , vol.59 , Issue.1 , pp. 239-252
    • Tichy, R.F.1    Wagner, S.G.2
  • 19
    • 0003391553 scopus 로고
    • Chemical graph theory
    • 19 N. Trinajstić, Chemical graph theory, CRC Press, Boca Raton, FL, 1992.
    • (1992)
    • Trinajstić, N.1
  • 20
    • 33847620317 scopus 로고    scopus 로고
    • Extremal trees with respect to Hosoya Index and Merrifield‐Simmons Index
    • 20 S. Wagner, Extremal trees with respect to Hosoya Index and Merrifield‐Simmons Index, MATCH Commun Math Comput Chem 57 (1) (2007), 221–233.
    • (2007) MATCH Commun Math Comput Chem , vol.57 , Issue.1 , pp. 221-233
    • Wagner, S.1
  • 21
    • 0040500302 scopus 로고
    • The number of maximal independent sets in a tree
    • 21 H. S. Wilf, The number of maximal independent sets in a tree, SIAM J Algebraic Discrete Methods 7 (1) (1986), 125–130.
    • (1986) SIAM J Algebraic Discrete Methods , vol.7 , Issue.1 , pp. 125-130
    • Wilf, H.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.