Rainbow and Properly Colored Spanning Trees in Edge-Colored Bipartite Graphs
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DOI: 10.1007/s00373-021-02334-5
Abstract: An edge-colored graph is called rainbow (or heterochromatic) if all its edges have distinct colors. It is known that if an edge-colored connected graph H has minimum color degree at least |H|/2 and has a… read more here.
Keywords: color degree; minimum color; colored spanning; properly colored ... See more keywords
On tree representations of relations and graphs: symbolic ultrametrics and cograph edge decompositions
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DOI: 10.1007/s10878-017-0111-7
Abstract: Tree representations of (sets of) symmetric binary relations, or equivalently edge-colored undirected graphs, are of central interest, e.g. in phylogenomics. In this context symbolic ultrametrics play a crucial role. Symbolic ultrametrics define an edge-colored complete… read more here.
Keywords: tree representations; symbolic ultrametrics; cograph edge; topology ... See more keywords
Finding disjoint paths on edge-colored graphs: more tractability results
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DOI: 10.1007/s10878-017-0238-6
Abstract: The problem of finding the maximum number of vertex-disjoint uni-color paths in an edge-colored graph (called MaxCDP) has been recently introduced in literature, motivated by applications in social network analysis. In this paper we investigate… read more here.
Keywords: disjoint paths; disjoint; finding disjoint; problem ... See more keywords
Finding recurrent RNA structural networks with fast maximal common subgraphs of edge-colored graphs
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DOI: 10.1371/journal.pcbi.1008990
Abstract: RNA tertiary structure is crucial to its many non-coding molecular functions. RNA architecture is shaped by its secondary structure composed of stems, stacked canonical base pairs, enclosing loops. While stems are precisely captured by free-energy… read more here.
Keywords: colored graphs; base pairs; recurrent rna; structure ... See more keywords