图的边列表、邻接表区别

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Graph File Formats:

The graph file formats include an adjacency graph format, an edge graph format, and a weighted edge graph format. All formats are ascii and entries are delimited by any consecutive sequence of delimiter characters: tab, space, line feed (ascii 0x0A), and carriage return (ascii 0x0D). Files can start and end with delimiters, which are ignored. Throughout the description n refers to the number of vertices and m to the number of edges in a graph.

Adjacency Graph

The adjacency graph format starts with a sequence of offsets one for each vertex, followed by a sequence of directed edges ordered by their source vertex. The offset for a vertex i refers to the location of the start of a contiguous block of out edges for vertex i in the sequence of edges. The block continues until the offset of the next vertex, or the end if i is the last vertex. All vertices and offsets are 0 based and represented in decimal. The specific format is as follows:

AdjacencyGraph
<o0>
<o1>
...
<o(n-1)>
<e0>
<e1>
...
<e(m-1)>

Edge Graph

The edge graph format consists of a sequence of edges/arcs each being a pair of integers. The format can either be interpreted as a directed graph or an undirected graphs depending on the application. Vertices are assumed to start at 0. The specific format is as follows:

EdgeArray
<s0> <t0>
<s1> <t1>
...
<s(n-1)> <t(n-1)>

where <si> and <ti> refer to the two endpoints of the undirected edge i, or the source and target of a directed edge (arc) i.

Weighted Edge Graph

The weighted edge graph format is the same as the edge graph format but includes double precision floating point weights. The specific format is as follows:

WeightedEdgeArray
<s0> <t0> <w0>
<s1> <t1> <w1>
...
<s(n-1)> <t(n-1)> <w(n-1)>

where <wi> is the weight of edge i. The weight can either be in decimal or exponential notation.

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