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pro vyhledávání: '"Wissing, Pepijn"'
Autor:
Wissing, Pepijn, van Dam, Edwin R.
Complex unit gain graphs may exhibit various kinds of symmetry. In this work, we explore structural symmetry, spectral symmetry and sign-symmetry in such graphs, and their respective relations to one-another. Our main result is a construction that tr
Externí odkaz:
http://arxiv.org/abs/2305.15207
Autor:
Wissing, Pepijn
A mixed graph is cospectral to its converse, with respect to the usual adjacency matrices. Hence, it is easy to see that a mixed graph whose eigenvalues occur uniquely, up to isomorphism, must be isomorphic to its converse. It is therefore natural to
Externí odkaz:
http://arxiv.org/abs/2111.03330
Autor:
Wissing, Pepijn, van Dam, Edwin R.
Since the introduction of the Hermitian adjacency matrix for digraphs, interest in so-called complex unit gain graphs has surged. In this work, we consider gain graphs whose spectra contain the minimum number of two distinct eigenvalues. Analogously
Externí odkaz:
http://arxiv.org/abs/2105.09149
Autor:
Wissing, Pepijn, van Dam, Edwin R.
The spectral properties of signed directed graphs, which may be naturally obtained by assigning a sign to each edge of a directed graph, have received substantially less attention than those of their undirected and/or unsigned counterparts. To repres
Externí odkaz:
http://arxiv.org/abs/2009.12181
Autor:
Wissing, Pepijn, van Dam, Edwin R.
Thus far, digraphs that are uniquely determined by their Hermitian spectra have proven elusive. Instead, researchers have turned to spectral determination of classes of switching equivalent digraphs, rather than individual digraphs. In the present pa
Externí odkaz:
http://arxiv.org/abs/1903.09531
Autor:
Wissing, Pepijn, van Dam, Edwin R.
Publikováno v:
In Journal of Combinatorial Theory, Series A April 2022 187
Autor:
Wissing, Pepijn, van Dam, Edwin R.
Publikováno v:
In Journal of Combinatorial Theory, Series A July 2020 173
Autor:
Wissing, Pepijn
While eigenvalues of graphs are well studied, spectral analysis of complex unit gain graphs is still in its infancy. This thesis considers gain graphs whose gain groups are gradually less and less restricted, with the ultimate goal of classifying gai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08ad8e8593f29685e1d820176e085b5e
https://research.tilburguniversity.edu/en/publications/776f871a-a052-406a-8a6f-6291ef1fac19
https://research.tilburguniversity.edu/en/publications/776f871a-a052-406a-8a6f-6291ef1fac19