The Number of Blocks of a Graph with Given Minimum Degree
A block of a graph is a nonseparable maximal subgraph of the graph. We denote by bG the number of block of a graph G. We show that, for a connected graph G of order n with minimum degree k≥1, bG<2k−3/k2−k−1n. The bound is asymptotically tight. In addition, for a connected cubic graph G of order n...
Saved in:
Main Authors: | Lei Li, Baoyindureng Wu |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2021-01-01
|
Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2021/6691960 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
On Trees with a Given Number of Vertices of Fixed Degree and Their Two Bond Incident Degree Indices
by: Abeer M. Albalahi, et al.
Published: (2024-12-01) -
On Minimum Generalized Degree Distance Index of Cyclic Graphs
by: Nadia Khan, et al.
Published: (2023-01-01) -
A Note on the Minimum Wiener Polarity Index of Trees with a Given Number of Vertices and Segments or Branching Vertices
by: Sadia Noureen, et al.
Published: (2021-01-01) -
The Ordering of the Unicyclic Graphs with respect to Largest Matching Root with Given Matching Number
by: Luozhong Gong, et al.
Published: (2022-01-01) -
On Minimum Wiener Polarity Index of Unicyclic Graphs with Prescribed Maximum Degree
by: Jianping Ou, et al.
Published: (2014-01-01)