Packing and covering constants for certain families of trees. II
Authors:
A. Meir and J. W. Moon
Journal:
Trans. Amer. Math. Soc. 233 (1977), 167-178
MSC:
Primary 05C05
DOI:
https://doi.org/10.1090/S0002-9947-1977-0460161-7
MathSciNet review:
0460161
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Abstract | References | Similar Articles | Additional Information
Abstract: In an earlier paper we considered the problem of determining the packing and covering constants for families of trees whose generating function y satisfied a relation $y = x\phi (y)$ for some power series $\phi$ in y. In the present paper we consider the problem for some families of trees whose generating functions satisfy a more complicated relation.
- Frank Harary and Edgar M. Palmer, Graphical enumeration, Academic Press, New York-London, 1973. MR 0357214
- A. Meir and J. W. Moon, The expected node-independence number of random trees, Nederl. Akad. Wetensch. Proc. Ser. A 76=Indag. Math. 35 (1973), 335–341. MR 0345877
- A. Meir and J. W. Moon, The expected node-independence number of various types of trees, Recent advances in graph theory (Proc. Second Czechoslovak Sympos., Prague, 1974) Academia, Prague, 1975, pp. 351–363. MR 0401520
- A. Meir and J. W. Moon, Relations between packing and covering numbers of a tree, Pacific J. Math. 61 (1975), no. 1, 225–233. MR 401519
- A. Meir and J. W. Moon, Packing and covering constants for certain families of trees. I, J. Graph Theory 1 (1977), no. 2, 157–174. Special issue dedicated to Paul Tur’́an. MR 463001, DOI https://doi.org/10.1002/jgt.3190010211
- J. W. Moon, Counting labelled trees, Canadian Mathematical Monographs, No. 1, Canadian Mathematical Congress, Montreal, Que., 1970. From lectures delivered to the Twelfth Biennial Seminar of the Canadian Mathematical Congress (Vancouver, 1969). MR 0274333
- Richard Otter, The number of trees, Ann. of Math. (2) 49 (1948), 583–599. MR 25715, DOI https://doi.org/10.2307/1969046
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Additional Information
Keywords:
Trees,
packing constants,
covering constants
Article copyright:
© Copyright 1977
American Mathematical Society
