We prove that a connected graph of minimum degree 6 has a spanning tree such that at least |y of its vertices are leaves. Bibliography: 4 titles.doi:10.1007/s10958-018-4132-2E. N. SimarovaSpringer USJournal of mathematical sciences
The number of trees in a graph. I. II 来自 ResearchGate 喜欢 0 阅读量: 191 作者: A.K. Kel'mans 摘要: The familiar construction of the center of a tree by repeatedly removing all the current leaves corresponds to the natural, but little studied, operator that removes simultaneously ...
We prove, that every connected graph with $s$ vertices of degree 3 and $t$ vertices of degree at least~4 has a spanning tree with at least ${2\over 5}t +{1\over 5}s+\alpha$ leaves, where $\alpha \ge {8\over 5}$. Moreover, $\alpha \ge 2$ for all graphs besides three ...
Let us now derive a bound on qr(T)∕a(deg(r)) where T is a special kind of a tree with root r. Lemma 19 Let T be a tree with root r of degree d≥1 and with l leaves distinct from the root. Suppose that no vertex of T is adjacent to more than one leaf of T distinct ...
The minimum leaf number ml(G) of a connected graph G is defined as the minimum number of leaves of the spanning trees of G. We present new results concerning the minimum leaf number of cubic graphs: we show that if G is a connected cubic graph of order n, then ml(G)≤n6+13, impr...
of the Talmud are familiar with this way of numbering the pages, or rather the leaves, but its use there is no proof of early date. The numerical use of the Greek letters can be abundantly illustrated. It is met with in many Greek papyri, some of them from the 3rd century BC (Hi...
1444-number-of-steps-to-reduce-a-number-to-zero 1450-delete-leaves-with-a-given-value 1456-find-the-city-with-the-smallest-number-of-neighbors-at-a-threshold-distance 1468-check-if-n-and-its-double-exist 1477-product-of-the-last-k-numbers 1484-linked-list-in-binary-tree 1485-minimum-cos...
In a binary tree, a full node is a node with two children. Using induction, prove that the number of full nodes plus one is equal to the number of leaves in a non-empty binary tree. Write the recursive function that returns...
A feedback vertex set in a graph is a set of vertices whose removal leaves the remaining graph acyclic. Given the vast number of published results concerning feedback vertex sets, it is surprising that the related combinatorics appears to be so poorly un
'Return' statement in a Function,Get,or Operator must return a value...Question "An error occurred during local reporting processing. Object reference not set to an instance of an object." "Define query parameters" popup in Dataset properties -> Refersh field, not displayed for Sps in ...