Weighted Mean of a Pair of Graphs
✍ Scribed by Horst Bunke; Simon Günter
- Book ID
- 106202982
- Publisher
- Springer Vienna
- Year
- 2001
- Tongue
- English
- Weight
- 212 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0010-485X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Suppose that G is a finite simple graph and w is a weight function which assigns to each vertex of G a nonnegative real number. Let C be a circle of length t . A t-circular coloring of (G,w) is a mapping A of the vertices of G to arcs of C such that A(%) n A(y) = 0 if (x, y) E E ( G ) and A(x) has l
Let (G, w ) denote a simple graph G with a weight function w : €(G) -{0,1,2}. A path cover of (G, w ) is a collection of paths in G such that every edge e is contained in exactly w(e) paths of the collection. For a vertex u , w ( v ) is the sum of the weights of the edges incident with U ; U is call
There are many different mathematical objects (transitive reductions, minimal equivalent digraphs, minimal connected graphs, Hasse diagrams and so on) that are defined on graphs. Although they have different names they correspond to the same object if a weighted graph is defined more generally. The