Forestry on fans: a problem analysis
نویسندگان
چکیده
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We present a substantive and far-reaching generalization of the principal results in the economics of forestry, as formalized by Mitra and Wan (1986). Rather than a polarized dichotomy of linear and strictly concave, differentiable benefit (felicity) functions, we develop the theory in the context of functions that are supported at the golden-rule consumption and are not necessarily concave. Th...
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We introduce a unifying framework for studying edge-colouring problems on multigraphs. This is defined in terms of a rooted directed multigraph F which is naturally associated to the set of fans based at a given vertex u in a multigraph G. We call F the “Fan Digraph”. We show that fans in G based at u are in one-to-one correspondence with directed trails in F starting at the root of F . We stat...
متن کاملA Note on Ramsey Numbers for Fans
For two given graphs G1 and G2, the Ramsey number R(G1,G2) is the smallest integer N such that, for any graph G of order N, either G contains G1 as a subgraph or the complement of G contains G2 as a subgraph. A fan Fl is l triangles sharing exactly one vertex. In this note, it is shown that R(Fn, Fm) = 4n + 1 for n ≥ max{m2 − m/2, 11m/2 − 4}. 2010 Mathematics subject classification: primary 05D...
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ژورنال
عنوان ژورنال: The Forestry Chronicle
سال: 2003
ISSN: 0015-7546,1499-9315
DOI: 10.5558/tfc79291-2