A discontinuous function with a connected closed graph
Jiří Jelínek (2003)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
Jiří Jelínek (2003)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
F. Burton Jones (1975)
Czechoslovak Mathematical Journal
Similarity:
Karpov, D.V., Pastor, A.V. (2000)
Zapiski Nauchnykh Seminarov POMI
Similarity:
Ladislav Nebeský (2001)
Czechoslovak Mathematical Journal
Similarity:
By the interval function of a finite connected graph we mean the interval function in the sense of H. M. Mulder. This function is very important for studying properties of a finite connected graph which depend on the distance between vertices. The interval function of a finite connected graph was characterized by the present author. The interval function of an infinite connected graph can be defined similarly to that of a finite one. In the present paper we give a characterization of...
Yuefang Sun (2017)
Discussiones Mathematicae Graph Theory
Similarity:
The concept of k-connectivity κk(G), introduced by Chartrand in 1984, is a generalization of the cut-version of the classical connectivity. For an integer k ≥ 2, the k-connectivity of a connected graph G with order n ≥ k is the smallest number of vertices whose removal from G produces a graph with at least k components or a graph with fewer than k vertices. In this paper, we get a sharp upper bound for the size of G with κk(G) = t, where 1 ≤ t ≤ n − k and k ≥ 3; moreover, the unique...
Andrej Taranenko, Aleksander Vesel (2012)
Discussiones Mathematicae Graph Theory
Similarity:
As a general case of molecular graphs of benzenoid hydrocarbons, we study plane bipartite graphs with Kekulé structures (1-factors). A bipartite graph G is called elementary if G is connected and every edge belongs to a 1-factor of G. Some properties of the minimal and the maximal 1-factor of a plane elementary graph are given. A peripheral face f of a plane elementary graph is reducible, if the removal of the internal vertices and edges of the path that is the intersection...
Baggs, Ivan (1989)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Ladislav Nebeský (1976)
Časopis pro pěstování matematiky
Similarity: