4,474 research outputs found
D-Tree Grammars
DTG are designed to share some of the advantages of TAG while overcoming some
of its limitations. DTG involve two composition operations called subsertion
and sister-adjunction. The most distinctive feature of DTG is that, unlike TAG,
there is complete uniformity in the way that the two DTG operations relate
lexical items: subsertion always corresponds to complementation and
sister-adjunction to modification. Furthermore, DTG, unlike TAG, can provide a
uniform analysis for em wh-movement in English and Kashmiri, despite the fact
that the em wh element in Kashmiri appears in sentence-second position, and not
sentence-initial position as in English.Comment: Latex source, needs aclap.sty, 8 pages, to appear in ACL-9
On the extremal properties of the average eccentricity
The eccentricity of a vertex is the maximum distance from it to another
vertex and the average eccentricity of a graph is the mean value
of eccentricities of all vertices of . The average eccentricity is deeply
connected with a topological descriptor called the eccentric connectivity
index, defined as a sum of products of vertex degrees and eccentricities. In
this paper we analyze extremal properties of the average eccentricity,
introducing two graph transformations that increase or decrease .
Furthermore, we resolve four conjectures, obtained by the system AutoGraphiX,
about the average eccentricity and other graph parameters (the clique number,
the Randi\' c index and the independence number), refute one AutoGraphiX
conjecture about the average eccentricity and the minimum vertex degree and
correct one AutoGraphiX conjecture about the domination number.Comment: 15 pages, 3 figure
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