A sequel to “Some problems connected with special fuctions”
S. K. Chatterjea (1969)
Matematički Vesnik
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S. K. Chatterjea (1969)
Matematički Vesnik
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S. K. Chatterjea (1968)
Matematički Vesnik
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Z. P. Mamuzić (1986)
Matematički Vesnik
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J. Guthrie, H. Stone (1973)
Fundamenta Mathematicae
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Hammer, Preston C. (1963)
Portugaliae mathematica
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R. Moore (1922)
Fundamenta Mathematicae
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Sierpinski has shown (Wacław Sierpiński Sur une condition pour qu'un continu soit une courbe jordanienne, Fundamenta Mathematicae I (1920), pp. 44-60) that in order that a closed and connected set of points M should be a continuous curve it is necessary and sufficient that, for every positive number ϵ, the connected point-set M should be the sum of a finite number of closed and connected point-sets each of diameter less than ϵ. It follows that, as applied to point-sets which are closed,...
Joanna Cyman, Magdalena Lemańska, Joanna Raczek (2006)
Open Mathematics
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For a given connected graph G = (V, E), a set is a doubly connected dominating set if it is dominating and both 〈D〉 and 〈V (G)-D〉 are connected. The cardinality of the minimum doubly connected dominating set in G is the doubly connected domination number. We investigate several properties of doubly connected dominating sets and give some bounds on the doubly connected domination number.
Rudolph Hrycay (1970)
Fundamenta Mathematicae
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Tzannes, V. (1998)
International Journal of Mathematics and Mathematical Sciences
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Igor Edmundovich Zverovich (2003)
Discussiones Mathematicae Graph Theory
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If D is a dominating set and the induced subgraph G(D) is connected, then D is a connected dominating set. The minimum size of a connected dominating set in G is called connected domination number of G. A graph G is called a perfect connected-dominant graph if for each connected induced subgraph H of G.We prove that a graph is a perfect connected-dominant graph if and only if it contains no induced path P₅ and induced cycle C₅.
Charles Dorsett (1984)
Fundamenta Mathematicae
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J. Hunt (1980)
Fundamenta Mathematicae
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