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The Clar formulas of a benzenoid system and the resonance graph
Discrete Applied Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khaled Salem +2 more
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Multimodal connectivity-based cortical segmentation with graph neural networks [PDF]
Frontiers in NeuroscienceDue to the significant amount of time and expertise needed for manual segmentation of the brain cortex from magnetic resonance imaging (MRI) data, there is a substantial need for efficient and accurate algorithms to replace the need for human involvement.
Agata Łabiak +4 more
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Functional connectome metrics reveal distinct prognostic subtypes in two Phase 3 gantenerumab trials [PDF]
Alzheimer’s & Dementia: Translational Research & Clinical InterventionsINTRODUCTION Alzheimer's disease (AD) heterogeneity poses significant challenges for drug development, identification of individuals at risk, and treatment response prediction.
Susanna Gobbi +5 more
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Resonance Graphs on Perfect Matchings of Graphs on Surfaces
Graphs and Combinatorics, 2023 Let $G$ be a graph embedded in a surface and let $\mathcal F$ be a set of even faces of $G$ (faces bounded by a cycle of even length). The resonance graph of $G$ with respect to $\mathcal F$, denoted by $R(G;\mathcal F)$, is a graph such that its vertex set is the set of all perfect matchings of $G$ and two vertices $M_1$ and $M_2$ are adjacent to each
Niko Tratnik, Dong Ye 0002
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Outerplane Bipartite Graphs with Isomorphic Resonance Graphs
Discrete Applied Mathematics, 2023 We present novel results related to isomorphic resonance graphs of 2-connected outerplane bipartite graphs. As the main result, we provide a structure characterization for 2-connected outerplane bipartite graphs with isomorphic resonance graphs. Moreover, two additional characterizations are expressed in terms of resonance digraphs and via local ...
Simon Brezovnik +3 more
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SYSTEM COMPLETENESS OF RESONANCE STATES FOR GRAPHS WITH DIFFERENT GEOMETRY [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2019 Resonant states (quasi-intrinsic functions) play an important role in the scattering problem and in the description of transportprocesses. We consider the system completeness of resonance states on a finite subgraph for quantum graphs with both finite ...
I. V. Blinova +2 more
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Onk-Resonant Fullerene Graphs [PDF]
SIAM Journal on Discrete Mathematics, 2009 A fullerene graph $F$ is a 3-connected plane cubic graph with exactly 12 pentagons and the remaining hexagons. Let $M$ be a perfect matching of $F$. A cycle $C$ of $F$ is $M$-alternating if the edges of $C$ appear alternately in and off $M$. A set $\mathcal H$ of disjoint hexagons of $F$ is called a resonant pattern (or sextet pattern) if $F$ has a ...
Dong Ye 0002, Zhongbin Qi, Heping Zhang
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Smooth graph learning for functional connectivity estimation
NeuroImage, 2021 Functional connectivity (FC) estimated from functional magnetic resonance imaging (fMRI) signals is important in understanding neural representation and information processing in cortical networks. However, due to a lack of ”ground truth” FC pattern, the
Siyuan Gao +3 more
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Diagnosis of Alzheimer’s Disease Using Brain Network
Frontiers in Neuroscience, 2021 Recent studies suggest the brain functional connectivity impairment is the early event occurred in case of Alzheimer’s disease (AD) as well as mild cognitive impairment (MCI). We model the brain as a graph based network to study these impairment. In this
Ramesh Kumar Lama, Goo-Rak Kwon
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Segmentation of Magnetic Resonance Brain Imaging Based on Graph Theory [PDF]
Iranian Journal of Medical Physics, 2020 Introduction: Segmentation of brain images especially from magnetic resonance imaging (MRI) is an essential requirement in medical imaging since the tissues, edges, and boundaries between them are ambiguous and difficult to detect, due to the proximity ...
S.Ehsan Razavi, Hamed Khodadadi
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