The hamiltonian path graph H(F) of a graph F is that graph having the same vertex set as F and in which two vertices u and u are adjacent if and only if F contains a hamiltonian u -u path. First, in response to a conjecture of Chartrand, Kapoor and Nordhaus, a characterization of nonhamiltonian grap
Metamaterial inclusions based on grid-graph Hamiltonian paths
✍ Scribed by Vincenzo Pierro; John McVay; Vincenzo Galdi; Ahmad Hoorfar; Nader Engheta; Innocenzo M. Pinto
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 287 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0895-2477
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✦ Synopsis
Abstract
This article deals with a study of novel classes of metamaterial inclusions based on space‐filling curves. The graph–theoretic Hamiltonian‐path (HP) concept is exploited to construct a fairly broad class of space‐filling curve geometries that include as special cases the well‐known Hilbert an Peano curves whose application to metamaterial inclusions has recently been proposed. In this framework, the basic properties of HP are briefly reviewed, and a full‐wave study of the electromagnetic properties of representative grid‐graph HP geometries is carried out. Applications to metamaterial inclusions are explored, with focus on artificial magnetic conductors with reduced polarization‐sensitivity. © 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 48:2520–2524, 2006; Published online in Wiley InterScience (www.interscience.wiley.com).DOI 10.1002/mop.21982
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