Add to ORKGA graph U is (induced)-universal for a class of graphs X if every member of X is contained in U as an induced subgraph. We study the problem of nding a universal graph with minimum number of vertices for various classes of bipartite graphs: exponential classes of bipartite (and general) graphs, bipartite chain graphs, bipartite permutation graphs, and general bipartite graphs. For exponential classes and general bipartite graphs we present a construction which is asymptotically optimal while for the other classes our solutions are optimal in order.
For any positive ¦ integers § and, ¨� © ¦ � §� � let denote the family of graphs § on vertices wit...
In this paper we introduce a new parameter for a graph called the minimum universal rank. This param...
We prove that asymptotically (as n -> infinity) almost all graphs with n vertices and C(d)n(2-1/2...
AbstractAmong a family of graphs H a graph G is called universal if any graph in H is isomorphic to ...
Let X be a family of graphs and Xn the set of n-vertex graphs in X. A graph U (n) containing all gra...
Let X be a family of graphs and Xn the set of n-vertex graphs in X. A graph U(n) containing all grap...
Let X be a family of graphs and Xn the set of n-vertex graphs in X. A graph U(n) containing all grap...
This paper deals with the subject of minimal path decomposition of complete bipartite graphs. A path...
A graph U is an induced universal graph for a family F of graphs if every graph in F is a vertex-ind...
If a class G of countable graphs has a member G* that contains a copy of every G ∈ G then G* is call...
Rado constructed a (simple) denumerable graph R with the positive integers as vertex set with the fo...
AbstractA graph G is two-point universal if, given any two vertices A and B, there is a vertex joint...
A universal labeling of a graph G is a labeling of the edge set in G such that in every orientation ...
In the present paper, we identify the first two minimal with respect to set-inclusion hereditary cla...
In this paper we introduce a new parameter for a graph called the minimum universal rank. This param...
For any positive ¦ integers § and, ¨� © ¦ � §� � let denote the family of graphs § on vertices wit...
In this paper we introduce a new parameter for a graph called the minimum universal rank. This param...
We prove that asymptotically (as n -> infinity) almost all graphs with n vertices and C(d)n(2-1/2...
AbstractAmong a family of graphs H a graph G is called universal if any graph in H is isomorphic to ...
Let X be a family of graphs and Xn the set of n-vertex graphs in X. A graph U (n) containing all gra...
Let X be a family of graphs and Xn the set of n-vertex graphs in X. A graph U(n) containing all grap...
Let X be a family of graphs and Xn the set of n-vertex graphs in X. A graph U(n) containing all grap...
This paper deals with the subject of minimal path decomposition of complete bipartite graphs. A path...
A graph U is an induced universal graph for a family F of graphs if every graph in F is a vertex-ind...
If a class G of countable graphs has a member G* that contains a copy of every G ∈ G then G* is call...
Rado constructed a (simple) denumerable graph R with the positive integers as vertex set with the fo...
AbstractA graph G is two-point universal if, given any two vertices A and B, there is a vertex joint...
A universal labeling of a graph G is a labeling of the edge set in G such that in every orientation ...
In the present paper, we identify the first two minimal with respect to set-inclusion hereditary cla...
In this paper we introduce a new parameter for a graph called the minimum universal rank. This param...
For any positive ¦ integers § and, ¨� © ¦ � §� � let denote the family of graphs § on vertices wit...
In this paper we introduce a new parameter for a graph called the minimum universal rank. This param...
We prove that asymptotically (as n -> infinity) almost all graphs with n vertices and C(d)n(2-1/2...