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of 12
pro vyhledávání: '"Jerzy Michael"'
Publikováno v:
Discussiones Mathematicae Graph Theory, Vol 38, Iss 3, Pp 791-800 (2018)
A digraph is called irregular if its distinct vertices have distinct degree pairs. An irregular digraph is called minimal (maximal) if the removal of any arc (addition of any new arc) results in a non-irregular digraph. It is easily seen that the min
Publikováno v:
Discrete Mathematics. 339(1):95-102
The type t G ( v ) of a vertex v ? V ( G ) is the ordered degree-sequence ( d 1 , ? , d d G ( v ) ) of the vertices adjacent with v , where d 1 ? ? ? d d G ( v ) . A graph G is called vertex-oblique if it contains no two vertices of the same type. In
Publikováno v:
Discrete Mathematics. 286(1-2):79-88
A digraph is called irregular if its vertices have mutually distinct ordered pairs of semi-degrees. Let D be any diregular oriented graph (without loops or 2-dicycles). A smallest irregular oriented graph F, F=F(D), is constructed such that F include
Publikováno v:
Archiv der Mathematik. 69:254-258
Games without repetitions on graphs with vertex disjoint cycles are considered. We show that the problem finding of the game partition in this class reduces to this problem for trees. A method of finding of the game partition for trees have been give
Autor:
Jerzy Michael, Zofia Majcher
Publikováno v:
Discrete Mathematics. 164:237-242
A simple connected graph is highly irregular if each of its vertices is adjacent only to vertices with distinct degrees. In this paper we find: (1) the greatest number of edges of a highly irregular graph with n vertices, where n is an odd integer (f
Publikováno v:
Archiv der Mathematik. 61:395-400
Publikováno v:
Archiv der Mathematik. 59:603-609
Publikováno v:
Discussiones Mathematicae Graph Theory. 27:611
Publikováno v:
Discussiones Mathematicae Graph Theory. 26:317
Autor:
Jerzy Michael, Zofia Majcher
Publikováno v:
Discussiones Mathematicae Graph Theory. 18:49