Some properties of connected compact groups
Jan Mycielski (1958)
Colloquium Mathematicae
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Jan Mycielski (1958)
Colloquium Mathematicae
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D.N. Dikranjan, D.B. Shakhmatov (1990)
Mathematische Zeitschrift
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Xiaofeng Jia (2000)
Discussiones Mathematicae Graph Theory
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Let S be a cut of a simple connected graph G. If S has no proper subset that is a cut, we say S is a minimal cut of G. To a minimal cut S, a connected component of G-S is called a fragment. And a fragment with no proper subset that is a fragment is called an end. In the paper ends are characterized and it is proved that to a connected graph G = (V,E), the number of its ends Σ ≤ |V(G)|.
S. K. Chatterjea (1969)
Matematički Vesnik
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S. K. Chatterjea (1968)
Matematički Vesnik
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J. Guthrie, H. Stone (1973)
Fundamenta Mathematicae
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Anne C. Morel (1968)
Colloquium Mathematicae
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Fred Clare (1976)
Colloquium Mathematicae
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Z. P. Mamuzić (1986)
Matematički Vesnik
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Andrzej Biś, Hiromichi Nakayama, Pawel Walczak (2004)
Annales de l’institut Fourier
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We deal with locally connected exceptional minimal sets of surface homeomorphisms. If the surface is different from the torus, such a minimal set is either finite or a finite disjoint union of simple closed curves. On the torus, such a set can admit also a structure similar to that of the Sierpiński curve.
Hammer, Preston C. (1963)
Portugaliae mathematica
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Charles Dorsett (1984)
Fundamenta Mathematicae
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