Results 21 to 30 of about 33,012 (267)
Star edge coloring of $ K_{2, t} $-free planar graphs
AIMS Mathematics, 2023 The star chromatic index of a graph $ G $, denoted by $ \chi{'}_{st}(G) $, is the smallest number of colors required to properly color $ E(G) $ such that every connected bicolored subgraph is a path with no more than three edges.
Yunfeng Tang , Huixin Yin , Miaomiao Han
doaj +1 more source
From light edges to strong edge-colouring of 1-planar graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 A strong edge-colouring of an undirected graph $G$ is an edge-colouring where every two edges at distance at most~$2$ receive distinct colours. The strong chromatic index of $G$ is the least number of colours in a strong edge-colouring of $G$.
Julien Bensmail +3 more
doaj +1 more source
An algorithm of graph planarity testing and cross minimization [PDF]
Computer Science Journal of Moldova, 2007 This paper presents an overview on one compartment from the graph theory, called graph planarity testing. It covers the fundamental concepts and important work in this area.
Vitalie Cotelea, Stela Pripa
doaj
On the minimum size of maximal IC-plane graphs
AIMS MathematicsA graph is IC-planar if it admits a drawing with at most one crossing per edge so that each vertex is incident to at most one crossing edge, and an IC-plane graph means such a drawing of an IC-planar graph.
Rui Xu
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The Associations Between Chronic Active Lesions and White Matter Disease: A 7 Tesla Imaging Study
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background The relationship between paramagnetic rim lesions (PRLs) and surrounding normally appearing white matter (NAWM) disease, potentially contributory to the associations seen between PRLs and clinical impairment, is underexplored. Objectives To assess whether PRLs correlate with a greater degree of NAWM injury in early MS.
Ellie McCluey +17 more
wiley +1 more source
On Computation of Degree-Based Entropy of Planar Octahedron Networks
Journal of Function Spaces, 2022 Chemical graph theory is the combination of mathematical graph theory and chemistry. To analyze the biocompatibility of the compounds, topological indices are used in the research of QSAR/QSPR studies.
Tian-Le Sun +5 more
doaj +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives Repetitive transcranial magnetic stimulation (rTMS) is a non‐invasive brain stimulation strategy with a demonstrated potential to reinforce the residual pathways after a spinal cord injury (SCI). A preclinically tested high‐frequency (15 Hz) rTMS (15 Hz rTMS) protocol was shown to induce corticospinal tract axon regeneration growth ...
Nabila Brihmat +8 more
wiley +1 more source
Treewidth 2 in the Planar Graph Product Structure Theorem [PDF]
Discrete Mathematics & Theoretical Computer ScienceWe prove that every planar graph is contained in $H_1\boxtimes H_2\boxtimes K_2$ for some graphs $H_1$ and $H_2$ both with treewidth 2. This resolves a question of Liu, Norin and Wood [arXiv:2410.20333]. We also show this result is best possible: for any
Marc Distel +4 more
doaj +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Autosomal dominant progranulin (GRN) pathogenic variants are a genetic cause of frontotemporal lobar degeneration. Though clinical trials for GRN‐related therapies are underway, there is an unmet need for biomarkers that can predict symptom onset and track disease progression.
Taru M. Flagan +46 more
wiley +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Olfactory dysfunction is frequently observed in patients with multiple sclerosis (MS); however, its underlying mechanisms remain poorly understood. To date, no studies have directly examined the nasal mucosal microbiota in MS. This study aimed to explore potential relationships among olfactory function, nasal microbiota composition,
Zidan Gao +5 more
wiley +1 more source