Hiatal-Hernia
发表于 2025-3-25 03:28:04
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换话题
发表于 2025-3-25 10:57:52
Line Graph Isomorphisms the edges of a graph with three edges with a common vertex and a graph with three edges forming a cycle. As shown by Hassler Whitney, this mapping not only preserves adjacency of edges, but these two are the only connected non-isomorphic graphs with this property. Whitney also proved that there are
GORGE
发表于 2025-3-25 11:53:21
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prostate-gland
发表于 2025-3-25 19:32:24
Spectral Properties of Line Graphshs’s theorem which states that eigenvalues of the adjacency matrix of a line graph are never less than −2. This feature pervades this chapter, culminating in a powerful theorem of Cameron, Goethals, Seidel, and Shult on root systems.
专横
发表于 2025-3-25 21:14:09
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不合
发表于 2025-3-26 02:27:10
Connectivity of Line Graphs graph. Most of the results provide equalities or inequalities involving some of the three classical parameters of the connectivity, the edge-connectivity, and the minimum degree of both graphs and line graphs. The last section applies some of these concepts to iterated line graphs.
alcohol-abuse
发表于 2025-3-26 07:55:34
Traversability in Line Graphscterizations. We then turn to the subject of Hamiltonian graphs. It is not hard to show that the line graph of a Hamiltonian graph is Hamiltonian, but as one would expect, determining which line graphs are Hamiltonian is a difficult problem. The fourth section is devoted to aspects of an outstanding
耐寒
发表于 2025-3-26 09:43:30
Colorability in Line Graphsns. A basic relationship is the fact that coloring the edges of a graph is equivalent to coloring the vertices of its line graph. In fact, this fact provides us with a line graph version of the four color theorem. The line graphs of cubic graphs constitute an interesting family on their own: it is k
GROWL
发表于 2025-3-26 14:37:38
Distance and Transitivity in Line Graphsric concepts of diameter, radius, and center. Some of the results involve connections for these quantities between graphs and their line graphs, and what happens to their values in iterated line graphs. The center of a graph is also defined in a natural way, and some intriguing results on the center
Sleep-Paralysis
发表于 2025-3-26 17:00:56
Fundamentals of Line Digraphs by Harary and Norman and didn’t appear until 1960. In this chapter, line digraphs are defined, after which some of their elementary directed properties are established, including some involving connectedness, degrees, paths and cycles, and distance. This is followed by some of the nicest results on