On the burning number of p-caterpillars
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 … 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 …
On the burning number of p-caterpillars
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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 … WebOn the Burning Number of p-Caterpillars Michaela Hiller, Arie Koster, Eberhard Triesch September 14, 2024 CTW 2024 Lehrstuhl II für Mathematik. Lehrstuhl II für Mathematik Overview 1. Introduction 2. 1-Caterpillars 2.1 Conjecture …
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 are looking for a highly-motivated individual to join Schloss Dagstuhl. 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.
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 ⌉ for any connected graph G of order n. In this paper, we confirm this conjecture for caterpillars. We also determine the burning numbers of caterpillars with at most two … Web1 de jul. de 2024 · Mathematics. Bulletin of the Malaysian Mathematical Sciences Society. The burning number b (G) of a graph G is used for measuring the speed of contagion in a graph. In this paper, we study the burning number of the generalized Petersen graph P (n, k). We show that for any fixed positive integer k, $$\lim _ {n\rightarrow \infty } \frac {b (P …
Web24 de mar. de 2024 · On the burning number of p-caterpillars. In Graphs and combinatorial optimization: from theory to applications-CTW2024 proceedings, volume 5 of AIRO Springer Ser., pages 145-156. Springer, Cham ...
Web1 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 … sharp 1800w/r-2395Web15 de nov. de 2024 · The burning number b(G) of a graph G was introduced by Bonato, Janssen, and Roshanbin [Lecture Notes in Computer Science 8882(2014)] to measure the speed of the spread of contagion in a graph. The graph burning problem is NP-complete even for trees. In this paper, we show that the burning number of any theta graph of … porch light for cattle trailersWeb1 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 … porchlight home entertainmentWeb14 de mar. de 2024 · TLDR. This work introduces graph burning for directed graphs, and studies bounds for the corresponding burning number and the hardness of finding this … porch light glen rockWebUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). porch light hidden cameraWebThe 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 … porch light for large bulbsWebTHE BURNING NUMBER CONJECTURE HOLDS ASYMPTOTICALLY SERGEY NORIN AND JÉRÉMIE TURCOTTE Abstract. The burning number b(G) ... [14], some p-caterpillars [11], sufficiently large graphs with minimum degree at least 4 [2], and others (for instance [15]). The best known bound on the burning number of general graphs … porchlight homes 5 north