منابع مشابه
On fans in multigraphs
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...
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[1] Several dozen distinct alluvial fans, 10 to 40 km long downslope, have been observed in highlands craters. Within a search region between 0 and 30 S, alluvial fan-containing craters were found only between 18 and 29 S, and they all occur at around ±1 km of the MOLA-defined Martian datum. Within the study area they are not randomly distributed but instead form three distinct clusters. Fans t...
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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In [6] Gervacio, Guerrero and Rara obtained formulas for the size of the largest clique onto which a graph G folds. We prove an interpolation lemma which simplifies some of their arguments and we correct a mistake in their formula for wheels.
متن کاملOn hyperbolic virtual polytopes and hyperbolic fans
Abstract: Hyperbolic virtual polytopes arose originally as polytopal versions of counterexamples to the following A.D.Alexandrov’s uniqueness conjecture: Let K ⊂ R3 be a smooth convex body. If for a constant C, at every point of ∂K, we have R1 ≤ C ≤ R2 then K is a ball. (R1 and R2 stand for the principal curvature radii of ∂K.) This paper gives a new (in comparison with the previous constructio...
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ژورنال
عنوان ژورنال: Mechanical Engineering
سال: 2010
ISSN: 0025-6501,1943-5649
DOI: 10.1115/1.2010-aug-7