Results 41 to 50 of about 42,490 (162)
Spanning Trees with Disjoint Dominating and 2-Dominating Sets
Discussiones Mathematicae Graph Theory, 2022 In this paper, we provide a structural characterization of graphs having a spanning tree with disjoint dominating and 2-dominating sets.
Miotk Mateusz, Żyliński Paweł
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Spanning 3-Ended Trees in Almost Claw-Free Graphs
Discrete Dynamics in Nature and Society, 2015 We prove that if G is a k-connected (k≥2) almost claw-free graph of order n and σk+3(G)≥n+2k-2, then G contains a spanning 3-ended tree, where σk(G)=min{∑v∈Sdeg(v):S is an independent set of G with S=k}.
Xiaodong Chen, Meijin Xu, Yanjun Liu
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Incremental Network Design with Minimum Spanning Trees
Journal of Graph Algorithms and Applications, 2017 Given an edge-weighted graph $G=(V,E)$ and a set $E_0\subset E$, the incremental network design problem with minimum spanning trees asks for a sequence of edges $e'_1,\ldots,e'_T\in E\setminus E_0$ minimizing $\sum_{t=1}^Tw(X_t)$ where $w(X_t)$ is ...
Konrad Engel +2 more
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Number of Spanning Trees of Cartesian and Composition Products of Graphs and Chebyshev Polynomials
IEEE Access, 2019 Enumerating all the spanning trees of a graph without duplication is one of the widely studied problems in electrical engineering and computer science literature.
S. N. Daoud
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Non-crossing trees revisited: cutting down and spanning subtrees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 Here we consider two parameters for random non-crossing trees: $\textit{(i)}$ the number of random cuts to destroy a size-$n$ non-crossing tree and $\textit{(ii)}$ the spanning subtree-size of $p$ randomly chosen nodes in a size-$n$ non-crossing tree ...
Alois Panholzer
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Linear verification for spanning trees [PDF]
Combinatorica, 1984 The paper deals with the following special problem: (Q) Given an n- element set \(E=(e_ 1,...,e_ n)\), and a list of m subsets of \(\{\) 1,...,n\(\}\), \(L=(S_ 1,...,S_ m)\). Find the maxima \(M_ i=\max_{j\in S_ i}e_ j,\) \(i=1,...,m\). For the solution of the problem an algorithm is proposed which finds all maxima in linear time when only the total ...
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EL-labelings and canonical spanning trees for subword complexes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We describe edge labelings of the increasing flip graph of a subword complex on a finite Coxeter group, and study applications thereof. On the one hand, we show that they provide canonical spanning trees of the facet-ridge graph of the subword complex ...
Vincent Pilaud, Christian Stump
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, 2018 We introduce and study a game variant of the classical spanning-tree problem. Our spanning-tree game is played between two players, min and max, who alternate turns in jointly constructing a spanning tree of a given connected weighted graph G. Starting with the empty graph, in each turn a player chooses an edge that does not close a cycle in the forest
Dan Hefetz +3 more
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Guarded Second-Order Logic, Spanning Trees, and Network Flows [PDF]
Logical Methods in Computer Science, 2010 According to a theorem of Courcelle monadic second-order logic and guarded second-order logic (where one can also quantify over sets of edges) have the same expressive power over the class of all countable $k$-sparse hypergraphs. In the first part of the
Achim Blumensath
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Geometric Spanning Trees Minimizing the Wiener Index
Computing in Geometry and TopologyThe Wiener index of a network, introduced by the chemist Harry Wiener, is the sum of distances between all pairs of nodes in the network. This index, originally used in chemical graph representations of the non-hydrogen atoms of a molecule, is ...
Karim Abu-Affash +3 more
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