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Subgraphs of Pair Vertices

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CONTRIBUTORS:
  Author Lorentz JÄNTSCHI (Technical University of Cluj-Napoca)
  Author Mircea V. DIUDEA
JOURNAL:
  Journal of mathematical chemistry, 45(2), 364 - 371.
YEAR: 2009
PUB TYPE: Journal Article
SUBJECT(S): chemistry - mathematical
DISCIPLINE: Chemistry
HTTP: http://dx.doi.org/10.1007/s10910-008-9411-6
LANGUAGE: English
PUB ID: 103-462-060 (Last edited on 2009/08/10 23:52:27 GMT-6)
SPONSOR(S):
 
ABSTRACT:
Subgraphs obtained by applying several fragmentation criteria are investigated. Two well known criteria (Szeged and Cluj), and two new others are defined and characterized. An example is given for the discussed procedures. The matrix and polynomial representations of vertices composing each type of subgraphs were also given. Analytical formulas for the polynomials of several classes of graphs are derived. The newly introduced subgraphs/fragments, called MaxF and CMaxF, appear to have interesting properties, which are demonstrated.
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