Search results
Introduction. Distance in Graphs. Trees. Isabela Dramnesc UVT. Computer Science Department, West University of Timisoara, Romania. What is Graph Theory? The study of graphs as mathematical structures G = (V ; E) used to model pairwise relations (a.k.a. edges) between objects of a collection V .
set of all points on above segments, and the distance between two points is the length of the shortest, along the line segments traversed, path connecting them. Also, it can be seen as one-dimensional Riemannian manifold with singularities.
Distance in Graphs This lecture introduces the notion of a weighted graph and explains how some choices of weights permit us to define a notion of distance in a graph. Reading: The material in this lecture comes from Chapter 3 of Dieter Jungnickel (2013), Graphs, Networks and Algorithms, 4th edition, which is (available online via SpringerLink.
Example 1.1. The two graphs in Fig 1.4 have the same degree sequence, but they can be readily seen to be non-isom in several ways. For instance, the center of the left graph is a single vertex, but the center of the right graph is a single edge. Also, the two graphs have unequal diameters. Figure 1.4: Why are these trees non-isomorphic?
14 paź 2010 · The distance between two vertices is the basis of the definition of several graph parameters including diameter, radius, average distance and metric dimension. These invariants are...
1 sty 2014 · An example is the distance between two triangular embeddings of a complete graph (i.e., its cellular embeddings in a surface with only 3-gonal faces) defined as the minimal number t such that, up to replacing t faces, the embeddings are isomorphic. Crossing-free transformation metrics
The distance between two vertices is the basis of the definition of several graph parameters including diameter, radius, average distance and metric dimension and these invariants are examined, especially how they relate to one another and to other graph invariants.
