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Recognizing d-Interval Graphs and d-Track Interval Graphs

Algorithmica, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Weighted irredundance of interval graphs

Information Processing Letters, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Maw-Shang   +2 more
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Interval graphs and maps of DNA

Bulletin of Mathematical Biology, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Waterman, Michael S., Griggs, Jerrold R.
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Variations on interval graphs

2001
A bipartite graph with partitions \(P\) and \(C\) is called an interval bigraph, if there exists a family of intervals which associates each vertex of \(G=(V, E)\) with an interval, and for \(x,y \in V\) the edge between \(x\) and \(y\) is in \(E\) if the corresponding intervals intersect and at least one of \(x\) and \(y\) is in \(P\). After a lengthy
Brown, David E.   +2 more
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Tagged Probe Interval Graphs

Journal of Combinatorial Optimization, 2001
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Sheng, Li, Wang, Chi, Zhang, Peisen
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Graph Searching and Interval Completion

SIAM Journal on Discrete Mathematics, 2000
In the classical node-search version for a finite simple undirected graph, in a sequence of moves, at every move a searcher is placed at a vertex or is removed from a vertex. Initially all edges are contaminated (uncleared). A contaminated edge \(xy\) is cleared if on \(x\) and \(y\) searchers are placed. A cleared edge \(e\) is recontaminated if there
Fomin, Fedor V., Golovach, Petr A.
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Interval \(k\)-graphs

2002
Summary: We introduce interval \(k\)-graphs, a family of restricted intersection graphs. The intersection model for interval \(k\)-graphs assigns each vertex to a unique interval in some copy of the real line, with two vertices adjacent whenever their corresponding intervals overlap and belong to distinct copies of \(\mathbb{R}\). Our work is motivated
Brown, David E.   +2 more
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Interval digraphs: An analogue of interval graphs

Journal of Graph Theory, 1989
AbstractIntersection digraphs analogous to undirected intersection graphs are introduced. Each vertex is assigned an ordered pair of sets, with a directed edge uv in the intersection digraph when the “source set” of u intersects the “terminal set” of v.
Sen, M.   +3 more
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On the Interval Number of a Triangulated Graph

Journal of Graph Theory, 1987
AbstractThe interval number of a simple undirected graph G, denoted i(G), is the least nonnegative integer r for which we can assign to each vertex in G a collection of at most r intervals on the real line such that two distinct vertices v and w of G are adjacent if and only if some interval for v intersects some interval for w. For triangulated graphs
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