منابع مشابه
A Note on Forbidding Clique Immersions
Robertson and Seymour proved that the relation of graph immersion is wellquasi-ordered for finite graphs. Their proof uses the results of graph minors theory. Surprisingly, there is a very short proof of a corresponding rough structure theorem for graphs without Kt-immersions; it is based on the Gomory-Hu theorem. The same proof also works to establish a rough structure theorem for Eulerian dig...
متن کاملA note on supermodular sublattices in finite relatively complemented lattices
A sublattice in a lattice is called supermodular if, for every two elements, one of which belongs to the sublattice, at least one of their meet and join also belongs to the sublattice. In this note, we describe supermodular sublattices in products of relatively complemented lattices.
متن کاملCharacterizing harmonic immersions of surfaces with indefinite metric.
Harmonic maps X:(S,h) --> N from a 2-manifold S with indefinite metric h to a semi-Riemannian manifold N are characterized, assuming that the induced metric I is nondegenerate. Except in one very special case, the characterizations involve a canonically determined holomorphic quadratic differential on a naturally chosen conformal structure. This is surprising because the Euler-Lagrange equation...
متن کاملOn Conformal Biharmonic Immersions
This paper studies conformal biharmonic immersions. We first study the transformations of Jacobi operator and the bitension field under conformal change of metrics. We then obtain an invariant equation for a conformal biharmonic immersion of a surface into Euclidean 3-space. As applications, we construct a 2-parameter family of non-minimal conformal biharmonic immersions of cylinder into R and ...
متن کاملOn H-immersions
For a fixed multigraph H, possibly containing loops, with V (H) = {h1, . . . , hk}, we say a graph G is H-linked if for every choice of k vertices v1, . . . , vk in G, there exists a subdivision of H in G such that vi represents hi (for all i). An H-immersion in G is similar except that the paths in G, playing the role of the edges of H, are only required to be edge disjoint. In this paper, we ...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 1975
ISSN: 0385-4035
DOI: 10.14492/hokmj/1381758762