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Approximating the spanning star forest problem and its applications to genomic sequence alignment
TLDR
This paper studies the algorithmic issues of the spanning star forest problem. Expand
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2-Role assignments on triangulated graphs
  • Li Sheng
  • Computer Science, Mathematics
  • Theor. Comput. Sci.
  • 28 July 2003
TLDR
We study 2-role assignments for triangulated graphs with at most one pendant vertex. Expand
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How hard is it to determine if a graph has a 2-role assignment?
TLDR
We investigate in this paper the computational complexity of the problem of determining if a graph has a 2-role assignment with two different roles. Expand
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A characterization of cycle-free unit probe interval graphs
TLDR
A graph is a probe interval graph (PIG) if its vertices can be partitioned into probes and nonprobes with an interval assigned to each vertex so that vertices are adjacent if and only if their corresponding intervals overlap and at least one of them is a Probe. Expand
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Tagged Probe Interval Graphs
TLDR
A generalization of interval graph is introduced for cosmid contig mapping of DNA. Expand
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  • 1
How hard is it to determine if a graph has a 2‐role assignment?
Role assignments, introduced by Everett and Borgatti [2], who called them role colorings, formalize the idea, arising In the theory of social networks, that individuals of the same social role willExpand
  • 14
The Expected Size of the Rule k Dominating Set
TLDR
In this paper we consider the "average-case" performance of two closely related versions of Rule k for the model of random unit disk graphs constructed from n random points in an $\ell_n\times \ell_N$ square. Expand
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Phylogeny graphs of arbitrary digraphs
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Phylogeny numbers for graphs with two triangles
TLDR
We obtain results about phylogeny number for graphs with exactly two triangles analogous to those for competition number. Expand
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Covering random points in a unit disk
Let D be the punctured unit disk. It is easy to see that no pair x, y in D can cover D in the sense that D cannot be contained in the union of the unit disks centred at x and y. With this fact inExpand
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