On the burning number of p-caterpillars

Author: rnft

August undefined, 2024

WebFor p ≥ 1, a p-caterpillar is a tree where there is a path P, such that each vertex is distance at most p to P. Note that a 1 -caterpillar is a caterpillar. It was show in [ 20 ] that a 2 -caterpillar is well-burnable, although the burning number conjecture remains open for p -caterpillars with p ≥ 3. WebAPX-Hardness and Approximation for the k-Burning Number Problem 3 conjecture is still open, Land and Lu [18] improved this bound to p 6n 2. However, the d p neupper bound holds for spider graphs [10] and for p-caterpillars with at least 2d p ne 1 vertices of degree 1 [14]. The burning number problem has received considerable attention in recent

On the Burning Number of -Caterpillars

Web23 de dez. de 2024 · Abstract: The burning number is a recently introduced graph parameter indicating the spreading speed of content in a graph through its edges. While the … Web30 de set. de 2024 · The burning number of a graph G, denoted by b (G), is the length of a shortest burning sequence for G. Such a burning sequence is called an optimal … dictionary\\u0027s 69

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Web27 de out. de 2024 · Most classified direct product of graphs are Type 1. The particular cases of the direct product of cycle graphs C_m × C_n, for m =3p, 5ℓ and 8ℓ with p ≥ 2 … WebOn the Burning Number of p-Caterpillars The burning number is a recently introduced graph parameter indicating t... 0 Michaela Hiller, et al. ∙. share ... Web18 de abr. de 2024 · The burning number conjecture is arguably the... Find, read and cite all the research you need on ResearchGate. Home; Invertebrate Zoology; ... Project: Graph Burning; Authors: ... dictionary\\u0027s 67

On the Burning Number of p-Caterpillars - Semantic Scholar

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Web30 de set. de 2024 · The burning number b ( G) of a graph G is the minimum number of steps in a graph burning process for G. Bonato et al. (2014) conjectured that b ( G) ≤ ⌈ n … Web1 de fev. de 2024 · Our other focus concerns the burning numbers of path forests, a class of graphs in which their burning numbers are naturally related to that of spiders and double spiders. Here, our main result shows that a path forest of order m 2 with a sufficiently long shortest path has burning number exactly m, the smallest possible for any path forest of … dictionary\\u0027s 66Web23 de dez. de 2024 · Title:On the Burning Number of $p$-Caterpillars. Authors:Michaela Hiller, Eberhard Triesch, Arie M.C.A. Koster. (Submitted on 23 Dec 2024) Abstract:The … city driver training reviews

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On the burning number of p-caterpillars

Web23 de dez. de 2024 · The burning number is a recently introduced graph parameter indicating the spreading speed of content in a graph through its edges. While the … Weblems in the ﬁeld, the burning number conjecture. While the conjecture is unresolved, we consider the best known upper bounds on the burning number. We discuss graphs fami-lies, such as spiders and caterpillars, where the conjecture is known to hold. In Section 3, we consider the burning number in a variety of graph classes. We highlight the ...

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WebBibliographic details on On the Burning Number of p-Caterpillars. Do you want to help us build the German Research Data Infrastructure NFDI for and with Computer Science?We … Webtype (χ2 = 18.43, P < 0.001). The differences in log expected counts between transects and plots was -1.6 ± 0.31 (Z = -5.1, P < 0.001). The numbers of predicted stems per hectare were higher for plots than transects for all site types (Table 3). The variance was much higher for stem counts obtained via plot sampling relative to

http://ctw2024.iasi.cnr.it/wp-content/uploads/2024/10/ctw_slides26.pdf Web1 de nov. de 2024 · The burning number is a graph parameter associated with graph burning that measures the speed of the spread of contagion in a graph; the lower the …

WebThe burning number is a recently introduced graph parameter indicating the spreading speed of content in a graph through its edges. While the conjectured upper bound on the … WebThe Burning Number Conjecture claims that for every connected graph G of order n; its burning number satis˙es b(G) 6 d p ne: While the conjecture remains open, we prove that it is asymptotically true when the order of the graph is much larger than its growth, which is the maximal distance of a vertex to a well-chosen path in the graph.

Web23 de nov. de 2024 · On the Burning Number of p-Caterpillars The burning number is a recently introduced graph parameter indicating t... 0 Michaela Hiller, et al. ∙. share ...

Web1 de out. de 2024 · We also determine the burning numbers of caterpillars with at most two stems and a subclass of the class of caterpillars all of whose spine vertices are stems. View. Show abstract. city driver stroller reviewWebThe burning number is a recently introduced graph parameter indicating the spreading speed of content in a graph through its edges. While the conjectured upper bound on … city driver\u0027s skill crossword clueWeb1 de abr. de 2024 · The burning number is a graph parameter associated with graph burning that measures the speed of the spread of contagion in a graph; the lower the burning … dictionary\\u0027s 65Web1 de abr. de 2024 · Abstract. Graph burning is a deterministic discrete time graph process that can be interpreted as a model for the spread of influence in social networks. The burning number b (G) of a graph G is ... dictionary\\u0027s 68Web14 de abr. de 2024 · Most species are identified. With fountains bubbling and the sound of tinkering from jewelers and woodcarvers, it’s a serene space to wander and enjoy. Allied Arts Guild, 75 Arbor Road, Menlo Park. Hours are Monday-Saturday, 10:00 a.m. to 5:00 p.m. The Japanese garden in San Mateo’s Central Park. city driver training companies houseWebThe burning number is a recently introduced graph parameter indicating the spreading speed of content in a graph through its edges. While the conjectured upper bound on the necessary number of time steps until all vertices are reached is proven for some specific... dictionary\u0027s 67Web3 de out. de 2024 · We study the graph burning problem on several sub-classes of geometric graphs. We show that burning interval graphs (Section 7.1, Theorem 7.1), … dictionary\u0027s 65