Reconstruction of interval graphs
نویسندگان
چکیده
منابع مشابه
Generalizations of Interval Graphs
Interval graphs arose in the nineteen fifties and have become a staple of graph theory, both for their appealing applications and for their rich mathematical structure yielding elegant characterizations and efficient algorithms. Recently, interval graphs have naturally appeared in the context of constraint satisfaction problems. Progress in understanding what structures make CSP’s tractable sug...
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A graph G = (V, E) is said to be represented by a family F of nonempty sets if there is a bijection f:V--*F such that uv ~ E if and only iff(u)Nf(v)q=~. It is proved that if G is a countable graph then G can be represented by open intervals on the real line if and only if G can be represented by closed intervals on the real line, however, this is no longer true when G is an uncountable graph. S...
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In a recent paper, we introduced the simultaneous representation problem (defined for any graph class C) and studied the problem for chordal, comparability and permutation graphs. For interval graphs, the problem is defined as follows. Two interval graphs G1 and G2, sharing some vertices I (and the corresponding induced edges), are said to be “simultaneous interval graphs” if there exist interv...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2010
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2010.07.006