Add to ORKGGiven a directed graph, a natural topology is defined and relationships between standard topological properties and graph theoretical concepts are studied. In particular, the properties of connectivity and separatedness are investigated. A metric is introduced which is shown to be related to separatedness. The topological notions of continuity and homeomorphism. A class of maps is studied which preserve both graph and topological properties. Applications involving strong maps and contractions are also presented
In this paper various types of separation axioms are studied. The ideas behind these results origina...
If X is a set with topologies S and T, the upper bound topology for X is the set T[S,T] defined as ...
Let X be a topological graph, with arcs joined only at end points. If Y is any locally connected met...
Topology is the study of topological properties of figures -- those properties which do not change u...
AbstractWe show that a graph admits a topology on its node set which is compatible with the usual co...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135364/1/jlms0087.pd
I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, includ...
Directed graphs and their higher-rank analogues provide an intuitive frame-work for the analysis of ...
AbstractWe show that a graph admits a topology on its node set which is compatible with the usual co...
Topological graph theory deals with embedding the graphs in Surfaces, and the graphs considered as a...
. Connectivity has been defined in the framework of topological spaces, but also in graphs; the two ...
Connectedness is a fundamental property of objects and systems. It is usually viewed as inherently t...
A pair (X,Y) of topological spaces X and Y is said to have the graph intersection property provided ...
A pair (X,Y) of topological spaces X and Y is said to have the graph intersection property provided ...
A pair (X,Y) of topological spaces X and Y is said to have the graph intersection property provided ...
In this paper various types of separation axioms are studied. The ideas behind these results origina...
If X is a set with topologies S and T, the upper bound topology for X is the set T[S,T] defined as ...
Let X be a topological graph, with arcs joined only at end points. If Y is any locally connected met...
Topology is the study of topological properties of figures -- those properties which do not change u...
AbstractWe show that a graph admits a topology on its node set which is compatible with the usual co...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135364/1/jlms0087.pd
I hereby declare that I am the sole author of this thesis. This is a true copy of the thesis, includ...
Directed graphs and their higher-rank analogues provide an intuitive frame-work for the analysis of ...
AbstractWe show that a graph admits a topology on its node set which is compatible with the usual co...
Topological graph theory deals with embedding the graphs in Surfaces, and the graphs considered as a...
. Connectivity has been defined in the framework of topological spaces, but also in graphs; the two ...
Connectedness is a fundamental property of objects and systems. It is usually viewed as inherently t...
A pair (X,Y) of topological spaces X and Y is said to have the graph intersection property provided ...
A pair (X,Y) of topological spaces X and Y is said to have the graph intersection property provided ...
A pair (X,Y) of topological spaces X and Y is said to have the graph intersection property provided ...
In this paper various types of separation axioms are studied. The ideas behind these results origina...
If X is a set with topologies S and T, the upper bound topology for X is the set T[S,T] defined as ...
Let X be a topological graph, with arcs joined only at end points. If Y is any locally connected met...