Paths in powers of graph
Elena Wisztová (1980)
Časopis pro pěstování matematiky
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Elena Wisztová (1980)
Časopis pro pěstování matematiky
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Nikiforov, Vladimir (2009)
The Electronic Journal of Combinatorics [electronic only]
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Ladislav Nebeský (1981)
Časopis pro pěstování matematiky
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Bohdan Zelinka (2003)
Mathematica Bohemica
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The paper concerns infinite paths (in particular, the maximum number of pairwise vertex-disjoint ones) in locally finite graphs and in spanning trees of such graphs.
Fujita, Shinya, Halperin, Alexander, Magnant, Colton (2011)
The Electronic Journal of Combinatorics [electronic only]
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Stanislav Jendrol′, Mária Maceková, Mickaël Montassier, Roman Soták (2016)
Discussiones Mathematicae Graph Theory
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In this paper we study the existence of unavoidable paths on three vertices in sparse graphs. A path uvw on three vertices u, v, and w is of type (i, j, k) if the degree of u (respectively v, w) is at most i (respectively j, k). We prove that every graph with minimum degree at least 2 and average degree strictly less than m contains a path of one of the types [...] Moreover, no parameter of this description can be improved.
Ladislav Nebeský (1984)
Časopis pro pěstování matematiky
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