On universal cycles of labeled graphs
The electronic journal of combinatorics, Tome 17 (2010)
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A universal cycle is a compact listing of a class of combinatorial objects. In this paper, we prove the existence of universal cycles of classes of labeled graphs, including simple graphs, trees, graphs with $m$ edges, graphs with loops, graphs with multiple edges (with up to $m$ duplications of each edge), directed graphs, hypergraphs, and $k$-uniform hypergraphs.
DOI :
10.37236/276
Classification :
05C78, 05C75, 05C45
Mots-clés : universal cycle, labeled graphs, de Bruijn cycles, arc digraph
Mots-clés : universal cycle, labeled graphs, de Bruijn cycles, arc digraph
Greg Brockman; Bill Kay; Emma E. Snively. On universal cycles of labeled graphs. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/276
@article{10_37236_276,
author = {Greg Brockman and Bill Kay and Emma E. Snively},
title = {On universal cycles of labeled graphs},
journal = {The electronic journal of combinatorics},
year = {2010},
volume = {17},
doi = {10.37236/276},
zbl = {1184.05110},
url = {http://geodesic.mathdoc.fr/articles/10.37236/276/}
}
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