A positive, lower semi-continuous, non-degenerate function on a metric space
Marston Morse (1948)
Fundamenta Mathematicae
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Marston Morse (1948)
Fundamenta Mathematicae
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M.M.M. Jaradat (2008)
Discussiones Mathematicae Graph Theory
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A construction of minimum cycle bases of the lexicographic product of graphs is presented. Moreover, the length of a longest cycle of a minimal cycle basis is determined.
S. Buoncristiano, M. Dedò (1980)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Gleiss, Petra M., Leydold, Josef, Stadler, Peter F. (2000)
The Electronic Journal of Combinatorics [electronic only]
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John L. Simons (2008)
Acta Arithmetica
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B. Kaufmann (1939)
Compositio Mathematica
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Karol Borsuk (1952)
Fundamenta Mathematicae
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Hong Wang (2012)
Discussiones Mathematicae Graph Theory
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We prove that if G is a graph of order 5k and the minimum degree of G is at least 3k then G contains k disjoint cycles of length 5.
Antonio F. Costa, Jesús M. Ruiz (1986)
Mathematische Annalen
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Jozef Bobok, Milan Kuchta (1998)
Fundamenta Mathematicae
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We study the law of coexistence of different types of cycles for a continuous map of the interval. For this we introduce the notion of eccentricity of a pattern and characterize those patterns with a given eccentricity that are simplest from the point of view of the forcing relation. We call these patterns X-minimal. We obtain a generalization of Sharkovskiĭ's Theorem where the notion of period is replaced by the notion of eccentricity.
Leydold, Josef, Stadler, Peter F. (1998)
The Electronic Journal of Combinatorics [electronic only]
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Lucio Guerra (1996)
Rendiconti del Seminario Matematico della Università di Padova
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