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The energy change of weighted graphs

✍ Scribed by Ivan Gutman; Jia-Yu Shao


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
192 KB
Volume
435
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


The bases of weighted graphs
✍ J. Alpin; R. Mubarakzianow πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 507 KB

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

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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

Circular colorings of weighted graphs
✍ Deuber, Walter A.; Zhu, Xuding πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 776 KB

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

Antimagic labelling of vertex weighted g
✍ Tsai-Lien Wong; Xuding Zhu πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 151 KB

## Abstract Suppose __G__ is a graph, __k__ is a non‐negative integer. We say __G__ is __k__‐antimagic if there is an injection __f__: __E__β†’{1, 2, …, |__E__| + __k__} such that for any two distinct vertices __u__ and __v__, . We say __G__ is weighted‐__k__‐antimagic if for any vertex weight functi

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## Abstract The notion of (circular) colorings of edge‐weighted graphs is introduced. This notion generalizes the notion of (circular) colorings of graphs, the channel assignment problem, and several other optimization problems. For instance, its restriction to colorings of weighted complete graphs