Sheng Ji-ming
Abstract
The definition of atuomorphism line graph is given the first in this paper.It is proved that a simple graph G is automorphism line graph if and only if the graph G is 2-regular graph.
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The definition of atuomorphism line graph is given the first in this paper.It is proved that a simple graph G is automorphism line graph if and only if the graph G is 2-regular graph.
Key concepts: Line graph, Mathematics, Edge-transitive graph, Voltage graph, Combinatorics, Vertex-transitive graph, Graph automorphism, Complement graph