New production matrices for geometric graphs
نویسندگان
چکیده
We use production matrices to count several classes of geometric graphs. present novel for non-crossing partitions, connected graphs, and k -angulations, which provide another, simple elegant, way counting the number such objects. Counting graphs is then equivalent calculating powers a matrix. Applying technique Riordan Arrays these matrices, we establish new formulas numbers as well combinatorial identities derived from matrices. Further, obtain characteristic polynomial eigenvectors
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2022
ISSN: ['1873-1856', '0024-3795']
DOI: https://doi.org/10.1016/j.laa.2021.10.013