halin graphs
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A note on 1-2-3 conjecture for Halin graphs

2021 ◽  
Author(s):  
Xiaoli Jiang ◽  
Zhengke Miao ◽  
Xiaowei Yu
Keyword(s):  
Connected Graph ◽  
Halin Graph ◽  
Halin Graphs

The well-known 1-2-3 Conjecture asserts the edges of every connected graph with at least three vertices can be weighted with 1, 2 and 3 so that adjacent vertices receive distinct sums of weights. In this paper, we show this conjecture holds for Halin graph. Moreover, this bound is tight.

scholarly journals Total weight choosability for Halin graphs

2021 ◽  
Vol 9 (1) ◽  
pp. 11
Author(s):  
Yu-Chang Liang ◽  
Tsai-Lien Wong ◽  
Xuding Zhu
Keyword(s):  
Total Weight ◽  
Halin Graphs

Flow number of signed Halin graphs

2021 ◽  
Vol 393 ◽  
pp. 125751
Author(s):  
Xiao Wang ◽  
You Lu ◽  
Shenggui Zhang
Keyword(s):  
Flow Number ◽  
Halin Graphs

scholarly journals Planar Drawings with Few Slopes of Halin Graphs and Nested Pseudotrees

2021 ◽  
pp. 271-285
Author(s):  
Steven Chaplick ◽  
Giordano Da Lozzo ◽  
Emilio Di Giacomo ◽  
Giuseppe Liotta ◽  
Fabrizio Montecchiani
Keyword(s):  
Halin Graphs

A distributed algorithm for a maximal 2-packing set in Halin graphs

2020 ◽  
Vol 142 ◽  
pp. 62-76
Author(s):  
Alejandro Flores-Lamas ◽  
José Alberto Fernández-Zepeda ◽  
Joel Antonio Trejo-Sánchez
Keyword(s):  
Distributed Algorithm ◽  
Halin Graphs
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