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It also provides an upper bound for the sum of the largest laplacian eigenvalues for the wheel graph wn+1, which provides a better. In this paper, the wheel graph w n + 1, except for w 7, is proved to be determined by its laplacian spectrum by showing that a graph g cospectral to the wheel graph w n + 1.

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In addition, some new unpublished results and. In this paper, we will build up to a proof of cheeger's inequality.

It also provides an upper bound for the sum of the largest laplacian eigenvalues for the wheel graph wn+1, which provides a better.

This section contains five subsections, including a literature review of studies on wheel graphs and overviews of molecular science and graph theory, the symmetry of wheel. This paper proves brouwer's conjecture for wheel graphs. The motivation of this study is to solve a conjecture in algebraic graph theory for a special type of graph called a wheel graph.

The motivation of this study is to solve a conjecture in algebraic graph theory for a special type of graph called a wheel graph. Brouwer’s conjecture states that sk (g)≤m+k+12,.

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This paper is primarily a survey of various aspects of the eigenvalues of the laplacian matrix of a graph for the past teens.

This paper proves brouwer’s conjecture for wheel graphs. This paper proves brouwer’s conjecture for wheel graphs. It also provides an upper bound for the sum of the largest laplacian eigenvalues for the wheel graph wn+1,.

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