Relaxed graceful labellings of trees.
Van Bussel, Frank (2002)
The Electronic Journal of Combinatorics [electronic only]
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Van Bussel, Frank (2002)
The Electronic Journal of Combinatorics [electronic only]
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K. CH. Das, I. Gutman, D. Vukičević (2011)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Roger C. Entringer, Douglas E. Jackson, D. A. Snyder (1976)
Czechoslovak Mathematical Journal
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Bohdan Zelinka (1990)
Časopis pro pěstování matematiky
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Markov, Minko (2008)
Serdica Journal of Computing
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We investigate the NP-complete problem Vertex Separation (VS) on Maximal Outerplanar Graphs (mops). We formulate and prove a “main theorem for mops”, a necessary and sufficient condition for the vertex separation of a mop being k. The main theorem reduces the vertex separation of mops to a special kind of stretchability, one that we call affixability, of submops.
Markov, Minko (2007)
Serdica Journal of Computing
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This paper is part of a work in progress whose goal is to construct a fast, practical algorithm for the vertex separation (VS) of cactus graphs. We prove a theorem for cacti", a necessary and sufficient condition for the VS of a cactus graph being k. Further, we investigate the ensuing ramifications that prevent the construction of an algorithm based on that theorem only.