Embedding an arbitrary function into a Tchebycheff space

Embedding an Arbitrary Binary Tree into the Star Graph

| Binary tree structures have been very useful in solving divide-and-conquer type of problems. Embedding binary trees into another network|the host network|helps in designing solutions for the host network using the known solutions on binary trees. Embedding arbitrary binary trees into networks, in particular into the hypercube, has been addressed in the literature. The latter was achieved with...

Embedding of and + into Arbitrary Tree

We present an approach to find the edge congestion sum and dilation sum forembedding of square of cycle on n vertices, Cn , and Cn 2 −1 + K1 into arbitrary tree. The embedding algorithms use a technique based on consecutive label property. Our algorithm calculates edge congestion in linear time.

Tchebycheff Approximation in a Compact Metric Space

EMBEDDING FUNCTION SPACES INTO `∞/c0

We show that if the space `∞/c0 contains an isometric copy of every function space over a first countable compactum or every function space over a Corson copactum of weight not exceeding the continuum then every subset of R belongs to the σfield generated by sets of the form A1×A2.We prove a similar result about isomorphic rather than isometric embeddings into `∞/c0 in terms of the σ-field of s...

Embedding of a 2D Graphene System in Non-Commutative Space

The BFT approach is used to formulate the electronic states in graphene through a non-commutative space in the presence of a constant magnetic field B for the first time. In this regard, we introduce a second class of constrained system, which is not gauge symmetric but by applying BFT method and extending phase space, the second class constraints  converts  to the first class constraints so th...