The hub number of Sierpiński-like graphs

DOI10.1007/s00224-010-9286-3zbMath1234.05178OpenAlexW2050835594MaRDI QIDQ649112

William Chung-Kung Yen, Jia-Jie Liu, Yue-Li Wang, Chien-Hung Lin

Publication date: 30 November 2011

Published in: Theory of Computing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00224-010-9286-3

zbMATH Keywords

dominating setsextended Sierpinski graphshub numbershub setSierpinski graphsSierpinski-like graphs

Mathematics Subject Classification ID

Paths and cycles (05C38) Structural characterization of families of graphs (05C75) Fractals (28A80) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Related Items (22)

Average trapping time on a type of horizontally segmented three dimensional Sierpinski gasket network with two types of locally self-similar structures ⋮ Metric properties of Sierpiński triangle graphs ⋮ Sierpiński graphs as spanning subgraphs of Hanoi graphs ⋮ Global strong defensive alliances of Sierpiński-like graphs ⋮ The 2-rainbow domination of Sierpiński graphs and extended Sierpiński graphs ⋮ HUB PARAMETERS AND MYCIELSKIAN OF A GRAPH ⋮ Minimum Linear Arrangement of Generalized Sierpinski Graphs ⋮ The hamiltonicity and path \(t\)-coloring of Sierpiński-like graphs ⋮ Metric properties of Sierpiński-like graphs ⋮ Coloring the square of Sierpiński graphs ⋮ The Wiener index of Sierpiński-like graphs ⋮ A survey and classification of Sierpiński-type graphs ⋮ Generalized power domination: propagation radius and Sierpiński graphs ⋮ The linear \(t\)-colorings of Sierpiński-like graphs ⋮ The hub number, girth and Mycielski graphs ⋮ Structural properties of subdivided-line graphs ⋮ The \((d, 1)\)-total labelling of Sierpiński-like graphs ⋮ The hub number of co-comparability graphs ⋮ Shortest paths in Sierpiński graphs ⋮ Degree sequence of the generalized Sierpiński graph ⋮ Feedback vertex number of Sierpiński-type graphs ⋮ The outer-connected domination number of Sierpiński-like graphs

Cites Work

• The hub number of a graph
• Vertex-, edge-, and total-colorings of Sierpiński-like graphs
• The average distance on the Sierpiński gasket
• Metric properties of the Tower of Hanoi graphs and Stern's diatomic sequence
• Graphs S(n, k) and a Variant of the Tower of Hanoi Problem
• 1-perfect codes in Sierpiński graphs
• Pascal's Triangle and the Tower of Hanoi
• Crossing numbers of Sierpiński‐like graphs
• Shortest Paths in the Tower of Hanoi Graph and Finite Automata
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