Subgraphs in Graph Theory - Learn about subgraphs in graph theory, including types, properties, and examples to enhance your understanding of graph structures.
通常,对于图G和图F,如果有 V(F)⊆V(G),E(F)⊆E(G) ,且 ψF 是ψG 在E(F)上的限制,那么我们就称图F是图G的一个子图(subgragh),图G包含(contains)图F,图F包含于(contained in)图G。图G的任意子图F都可以通过对G重复进行点删除和边删除来得到:首先删除G中不在F内的边,然后再删除G中不...
cations. In many applications of graph theory, one is interested in determining if a given graph has a subgraph or supergraph with prescribed properties. The theorem below provides a su?cient condition for a graph to contain a cycle. In later chapters, we study conditions under which a graph...
Journal of Graph TheoryZ.-H. Chen, H.-J. Lai, X. Li, D. Li and J. Mao, Eulerian subgraphs in 3-edge-connected graphs and Hamiltonian line graphs, J. Graph Theory 42, 2003, pp. 308-319.Z.-H. Chen, H.-J. Lai, X.W. Li, D.Y. Li, J.Z. Mao, Eulerian subgraphs in 3...
Extremal problems involving the enumeration of graph substructures have a long history in graph theory. For example, the number of independent sets in a d-regular graph on n vertices is at most (2d+1−1)n/2d by the Kahn–Zhao theorem [7], [13]. Relaxing the regularity constraint to ...
A clique subgraph in graph theory refers to a subset of nodes of an undirected graph such that every two different nodes in the clique are connected (Seidman and Foster, 1978). SBLR puts symmetry constraint on the coefficient matrix in the logistic regression, because the adjacency matrices of...
On unavoidable‐induced subgraphs in large prime graphs Chudnovsky, Kim, Oum, and Seymour recently established that any prime graph contains one of a short list of induced prime subgraphs [1]. In the present art... M Malliaris,C Terry - 《Journal of Graph Theory》 被引量: 7发表: 2017年...
For a graph G, let f2(G) denote the largest number of vertices in a 2-regular subgraph of G. We determine the minimum of f2(G) over 3-regular n-vertex simple graphs G. To do this, we prove that every 3-regular multigraph with exactly c cut-edges has a 2-regular subgraph that ...
() Citation Context ...pt extents form connected subgraphs of this graph. This allows to retrieve objects similar to a given object by a recursive traversal of that objects neighborhood. The approach has been introduced in =-=[1]-=- and is considered as a potential model for information ...
Forbidden subgraphs in planar repeated line graphs 来自 钛学术 喜欢 0 阅读量: 9 作者:VR Kulli,DG Akka 摘要: We introduce the first Gourava index of a molecular graph. We initiate a study of this new topological index in Chemical Graph Theory. This is the FIRST step in this project.年份...