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Packing in honeycomb networks
, A. Muthumalai, R. Bharati, A.S. Shanthi
Published in
2012
Volume: 50
   
Issue: 5
Pages: 1200 - 1209
Abstract
Molecules arranging themselves into predictable patterns on silicon chips could lead to microprocessors with much smaller circuit elements. Mathematically, assembling in predictable patterns is equivalent to packing in graphs. An H-packing of a graph G is a set of vertex disjoint subgraphs of G, each of which is isomorphic to a fixed graph H. If H is the complete graph K 2, the maximum H-packing problem becomes the familiar maximum matching problem. In this paper we give algorithms to find a perfect packing of HC(n) with P 6 and K 1,3 when n is even and thus determines their packing numbers. Further we also study the packing of HC(n) with 1, 3-dimethyl cyclohexane. © 2011 Springer Science+Business Media, LLC.
About the journal
JournalJournal of Mathematical Chemistry
ISSN02599791