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pro vyhledávání: '"Fowler, Patrick. W."'
Autor:
Bašić, Nino, Fowler, Patrick W.
A nut graph is a simple graph of order 2 or more for which the adjacency matrix has a single zero eigenvalue such that all non-zero kernel eigenvectors have no zero entry (i.e. are full). It is shown by construction that every finite group can be rep
Externí odkaz:
http://arxiv.org/abs/2405.04117
A nut graph is a simple graph for which the adjacency matrix has a single zero eigenvalue such that all non-zero kernel eigenvectors have no zero entry. If the isolated vertex is excluded as trivial, nut graphs have seven or more vertices; they are c
Externí odkaz:
http://arxiv.org/abs/2312.03149
Autor:
Bašić, Nino, Fowler, Patrick W.
Altanisation (formation of the altan of a parent structure) originated in the chemical literature as a formal device for constructing generalised coronenes from smaller structures. The altan of graph $G$, denoted $\mathfrak{a}(G, H)$, depends on the
Externí odkaz:
http://arxiv.org/abs/2203.10071
Catacondensed benzenoids (those benzenoids having no carbon atom belonging to three hexagonal rings) form the simplest class of polycyclic aromatic hydrocarbons (PAH). They have a long history of study and are of wide chemical importance. In this pap
Externí odkaz:
http://arxiv.org/abs/2104.13290
A signed graph has edge weights drawn from the set $\{+1,-1\}$, and is termed sign-balanced if it is equivalent to an unsigned graph under the operation of sign switching; otherwise it is called sign-unbalanced. A nut graph has a one dimensional kern
Externí odkaz:
http://arxiv.org/abs/2009.09018
Molecular graphs of unsaturated carbon frameworks or hydrocarbons pruned of hydrogen atoms, are chemical graphs. A chemical graph is a connected simple graph of maximum degree $3$ or less. A nut graph is a connected simple graph with a singular adjac
Externí odkaz:
http://arxiv.org/abs/2009.01286
Autor:
Bašić, Nino, Berkemer, Sarah, Fallmann, Jörg, Fowler, Patrick W., Gatter, Thomas, Pisanski, Tomaž, Retzlaff, Nancy, Stadler, Peter F., Zemljič, Sara S.
In 2012, a family of benzenoids was introduced by Cruz, Gutman, and Rada, which they called convex benzenoids. In this paper we introduce the convexity deficit, a new topological index intended for benzenoids and, more generally, fusenes. This index
Externí odkaz:
http://arxiv.org/abs/2003.09716
A nut graph is a singular graph with one-dimensional kernel and corresponding eigenverctor with no zero elements. The problem of determining the orders $n$ for which $d$-regular nut graphs exist was recently posed by Gauci, Pisanski and Sciriha. Thes
Externí odkaz:
http://arxiv.org/abs/1908.11635
Publikováno v:
In International Journal of Solids and Structures 1 August 2023 276
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