A Characterization of 2-Tree Proper Interval 3-Graphs
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چکیده
منابع مشابه
A matrix characterization of interval and proper interval graphs
In this work a matrix representation that characterizes the interval and proper interval graphs is presented, which is useful for the efficient formulation and solution of optimization problems, such as the k-cluster problem. For the construction of this matrix representation every such graph is associated with a node versus node zero–one matrix. In contrast to representations used in most of t...
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The diameter diam(H) of a (directed) graph H is the maximum value computed over the lengths of all shortest (directed) paths in H . Given a bridgeless connected graph G, the oriented diameter OD(G) is given by OD(G) = min{diam(H) : H is an orientation of G}. In this paper, we show that OD(G) ≤ 2diam(G) +1 for every connected bridgeless interval graph G. Further, for every 2-connected proper int...
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ژورنال
عنوان ژورنال: Journal of Discrete Mathematics
سال: 2014
ISSN: 2090-9837,2090-9845
DOI: 10.1155/2014/143809