Zobrazeno 1 - 10
of 530
pro vyhledávání: '"Trémaux tree"'
Publikováno v:
European Journal of Combinatorics. 66:191-234
One of the most famous algorithmic meta-theorems states that every graph property which can be defined in counting monadic second order logic (CMSOL) can be checked in linear time on graphs of bounded treewidth, which is known as Courcelle’s Theore
Publikováno v:
Journal of Parallel and Distributed Computing. 109:1-14
A cut tree is a combinatorial structure that represents the edge-connectivity between all pairs of vertices of an undirected graph. Cut trees solve the all pairs minimum s – t -cut problem efficiently. Cut trees have a large number of applications
Publikováno v:
European Journal of Combinatorics. 65:259-275
A closed curve in the Freudenthal compactification | G | of an infinite locally finite graph G is called a Hamiltonian curve if it meets every vertex of G exactly once (and hence it meets every end at least once). We prove that | G | has a Hamiltonia
Autor:
S.N. Daoud
Publikováno v:
Journal of the Egyptian Mathematical Society, Vol 25, Iss 4, Pp 424-433 (2017)
The literature is very rich with works deal with the enumerating the spanning trees in any graph G since the pioneer Kirchhoff (1847). Generally, the number of spanning trees in a graph can be acquired by directly calculating an associated determinan
Autor:
Helin Gong, Shuli Li
Publikováno v:
Discrete Applied Mathematics. 229:154-160
Based on electrically equivalent transformations on weighted graphs, in this paper, we present a formula for computing the number of spanning trees of a family of 2-separable graphs formed from two base graphs by 2-sum operations. As applications, we
Autor:
R. Tusserkani, M. Ariannejad
Publikováno v:
Linear and Multilinear Algebra. 66:1757-1766
The spanning tree packing number of a graph G, denoted by STP(G), is the maximum number of edge-disjoint spanning trees contained in G. Let denotes the set of all spanning trees of G. We sa...
Autor:
Weigen Yan
Publikováno v:
Applied Mathematics and Computation. 307:239-243
Let G be a simple graph with n vertices and m edges, and and the maximum degree and minimum degree of G. Suppose G is the graph obtained from G by attaching dG(v) pendent edges to each vertex v of G. Huang and Li (Bull. Aust. Math. Soc. 91(2015), 353
Publikováno v:
Computational Optimization and Applications. 68:749-773
Decomposition methods for optimal spanning trees on graphs are explored in this work. The attention is focused on optimization problems where the objective function depends only on the degrees of the nodes of the tree. In particular, we deal with the
Autor:
Reinhard Diestel, Julian Pott
Publikováno v:
Journal of Combinatorial Theory, Series B. 123:32-53
We extend to infinite graphs the matroidal characterization of finite graph duality, that two graphs are dual iff they have complementary spanning trees in some common edge set. The naive infinite analogue of this fails. The key in an infinite settin
Autor:
Masao Tsugaki, Zheng Yan
Publikováno v:
Advances and Applications in Discrete Mathematics. 17:453-459