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pro vyhledávání: '"KANNAN, M."'
We explore the melting mechanisms of silver nanowires through molecular dynamics simulations and theoretical modelling, where we observe that two distinct mechanisms or pathways emerge that dictate how the solid-liquid interface melts during the phas
Externí odkaz:
http://arxiv.org/abs/2411.12891
Publikováno v:
Discrete Applied Mathematics, 357: 264-273, (2024)
In 2010, Butler introduced the unfolding operation on a bipartite graph to produce two bipartite graphs, which are cospectral for the adjacency and the normalized Laplacian matrices. In this article, we describe how the idea of unfolding a bipartite
Externí odkaz:
http://arxiv.org/abs/2401.03035
Autor:
Samanta, Aniruddha, Kannan, M. Rajesh
A complex unit gain graph ($ \mathbb{T} $-gain graph), $ \Phi=(G, \varphi) $ is a graph where the gain function $ \varphi $ assigns a unit complex number to each orientation of an edge of $ G $ and its inverse is assigned to the opposite orientation.
Externí odkaz:
http://arxiv.org/abs/2312.17152
Autor:
Mahato, Iswar, Kannan, M. Rajesh
In this article, we show that the generalized tree shift operation increases the distance spectral radius, distance signless Laplacian spectral radius, and the $D_\alpha$-spectral radius of complements of trees. As a consequence of this result, we co
Externí odkaz:
http://arxiv.org/abs/2306.05155
Autor:
Mahato, Iswar, Kannan, M. Rajesh
The eccentricity matrix of a connected graph $G$, denoted by $\mathcal{E}(G)$, is obtained from the distance matrix of $G$ by keeping the largest nonzero entries in each row and each column, and leaving zeros in the remaining ones. The $\mathcal{E}$-
Externí odkaz:
http://arxiv.org/abs/2301.01708
Autor:
Mahato, Iswar, Kannan, M. Rajesh
The eccentricity matrix of a connected graph $G$, denoted by $\mathcal{E}(G)$, is obtained from the distance matrix of $G$ by keeping the largest nonzero entries in each row and each column and leaving zeros in the remaining ones. The eigenvalues of
Externí odkaz:
http://arxiv.org/abs/2208.13462
Autor:
Ridings, Kannan M., Hendy, Shaun C.
Molecular dynamics simulation have shown that after initial surface melting, nanowires can melt via two mechanisms: an interface front moves towards the wire centre; the growth of an instability at the interface can cause the solid to pinch-off and b
Externí odkaz:
http://arxiv.org/abs/2206.06555