Game matching number of graphs

@article{Cranston2013GameMN,
  title={Game matching number of graphs},
  author={Daniel W. Cranston and Bill Kinnersley and O Suil and Douglas B. West},
  journal={Discret. Appl. Math.},
  year={2013},
  volume={161},
  pages={1828-1836}
}
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15 Citations
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3
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15 Citations

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Paired-Domination Game Played in Graphs
In this paper, we continue the study of the domination game in graphs introduced by Bre{v{s}}ar, Klav{v{z}}ar, and Rall. We study the paired-domination version of the domination game which adds a…
Saturation Games for Odd Cycles
TLDR
It is shown that the number of edges that are in the final graph when both players play optimally is the same, andsat_g(\mathcal{C}_\infty\setminus C_3;n) is proved to be 2n-2, where $k\ge 2$ denotes the set of all odd cycles.
The generalized matcher game
Bounds on the game transversal number in hypergraphs
Signless Laplacian spectral radius and matching in graphs
The signless Laplacian matrix of a graph $G$ is given by $Q(G)=D(G)+A(G)$, where $D(G)$ is a diagonal matrix of vertex degrees and $A(G)$ is the adjacency matrix. The largest eigenvalue of $Q(G)$ is…
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References

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TLDR
Tight lower bounds on the size of a maximum matching in a regular graph of order n and α′(G) are studied, which show that if k is even, then α' (G) \ge \min \left(k^3-k^2-2) \, n - 2k + 2}{2(k-3-3k)} .
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