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发表于 2025-3-23 10:00:26 | 显示全部楼层
https://doi.org/10.1057/9781403973528In this chapter, we find a type of subgraph of a graph . where removal from . separates some vertices from others in .. This type of subgraph is known as cut set of .. Cut set has a great application in communication and transportation networks.
发表于 2025-3-23 17:13:57 | 显示全部楼层
发表于 2025-3-23 18:59:11 | 显示全部楼层
Alfred Bellebaum,Robert HettlageDefinition: A graph is called a plane graph
发表于 2025-3-23 23:23:52 | 显示全部楼层
发表于 2025-3-24 03:47:10 | 显示全部楼层
Subgraphs, Paths, and Connected Graphs,: Let . be a graph with vertex set .(.) and edge set .(.), and similarly let . be a graph with vertex set .(.) and edge set .(.). Then, we say that . is a subgraph of . if .(.) ⊆ .(.) and .(.) ⊆ .(.). In such a case, we also say that . is a supergraph of ..
发表于 2025-3-24 07:55:12 | 显示全部楼层
Euler Graphs and Hamiltonian Graphs,: A trail in . is said to be an Euler Trail if it includes all the edges of graph .. Thus a trail is Euler if each edge of . is in the trail exactly once.
发表于 2025-3-24 12:49:29 | 显示全部楼层
Trees and Fundamental Circuits,: A graph with no cycle is acyclic. .: A tree is a connected acyclic graph. .: A leaf is a vertex of degree 1 (Pendant vertex). A leaf node has no children nodes. .: The root node of a tree is the node with no parents. There is at most one root node in a rooted tree.
发表于 2025-3-24 16:26:55 | 显示全部楼层
Algorithms on Graphs,: A weighted network (., ., .) consists of a node set ., an edge set ., and the weight set . specifying weights . for the edges (., .) ∈ ..
发表于 2025-3-24 21:16:28 | 显示全部楼层
Matrix Representation on Graphs,Let us consider a graph . in Fig. . with four vertices and five edges . Any subgraph . of . can be represented by a 5-tuple.
发表于 2025-3-24 23:21:45 | 显示全部楼层
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