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We conjecture that every oriented graph $G$ on $n$ vertices with $\delta ^+ (G) , \delta ^- (G) \geq 5n/12$ contains the square of a Hamilton cycle. We also give a conjectural bound on the minimum sem...
Embedding a Forest in a Graph     Embedding  Graph       2010/11/22
For \math{p\ge 1}, we prove that every forest with \math{p} trees whose sizes are $a_1,..., a_p$ can be embedded in any graph containing at least $\sum_{i=1}^p (a_i + 1)$ vertices and having a minimum...
Universal theorem is an important theorem, in this paper, Figiel’s lemma that concerns the isometric embedding from a Banach space X into the continuous space C(L) are extended. That is a form of exte...
For the space of gamma distributions with Fisher metric and exponential connec- tions, natural coordinate systems, potential functions and an affine immersion in R3 are provided.
We prove an Orlicz type version of the multiplicative embedding inequality for Sobolev spaces.
An improvement of the author's result, proved in 1961, concerning necessary and sufficient conditions for the compactness of an imbedding operator is given.
The need for a robust method that protects owner rights against unintended or malicious stealing, which has arisen because of the rapid increase of Internet data exchange and multimedia use, in additi...

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