Results 81 to 90 of about 586,356 (320)

Nodal domains on quantum graphs

, 2003
We consider the real eigenfunctions of the Schr\"odinger operator on graphs, and count their nodal domains. The number of nodal domains fluctuates within an interval whose size equals the number of bonds $B$.
Aurich R, Aurich R, Barra F, Berkolaiko G, Berkolaiko G, Berry M, Berry M V, Berry M V, Bies W E, Blum G, Bogomolny E, Courant R, Courant R, Courant R, Foltin G, Gradsteyn I S, Gutzwiller M C, Haake F, Joachim Weber, Kottos T, Monastra A G, Pleijel A, Simmel F, Stratt R M, Sven Gnutzmann, Uzy Smilansky   +25 more
core   +2 more sources

Infrared laser sampling of low volumes combined with shotgun lipidomics reveals lipid markers in palatine tonsil carcinoma

Molecular Oncology, EarlyView.
Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff, Manuela Moritz, Dennis Eggert, Anna Worthmann, Joerg Heeren, Henrike Zech, Till S. Clauditz, Waldemar Wilczak, Hartmut Schlüter, Christian S. Betz, Arne Böttcher, Jan Hahn   +11 more
wiley   +1 more source

A polynomial algorithm for the k-cluster problem on interval graphs

, 2008
This paper deals with the problem of finding, for a given graph and a given natural number k, a subgraph of k nodes with a maximum number of edges. This problem is known as the k-cluster problem and it is NP-hard on general graphs as well as on chordal ...
Mertzios, George B.
core   +1 more source

Metformin promotes mitochondrial integrity through AMPK‐signaling in Leber's hereditary optic neuropathy

FEBS Open Bio, EarlyView.
Metformin mediates mitochondrial quality control in Leber's hereditary optic neuropathy (LHON) fibroblasts carrying mtDNA mutations. At therapeutic levels, metformin activates AMPK signaling to restore mitochondrial dynamics by promoting fusion and restraining fission, while preserving mitochondrial mass, enhancing autophagy/mitophagy and biogenesis ...
Chatnapa Panusatid, Rapasviranda Soiyangsuk, Maneeluck Tanadjindarat, Chayanon Peerapittayamongkol   +3 more
wiley   +1 more source

On $[1,2]$-Domination in Interval and Circle Graphs [PDF]

Discrete Mathematics & Theoretical Computer Science
A subset $S$ of vertices in a graph $G=(V, E)$ is a Dominating Set if each vertex in $V(G)\setminus S$ is adjacent to at least one vertex in $S$. Chellali et al.
Mohsen Alambardar Meybodi, Abolfazl Poureidi   +1 more
doaj   +1 more source

Algorithms for optimal min hop and foremost paths in interval temporal graphs

Applied Network Science, 2022
Path problems are fundamental to the study of graphs. Temporal graphs are graphs in which the edges connecting the vertices change with time. Min hop paths problem in a temporal graph is the problem of finding time respecting paths from source vertex to ...
Anuj Jain, Sartaj K. Sahni
doaj   +1 more source

Interval k-Graphs and Orders [PDF]

Order, 2017
An interval $k$-graph is the intersection graph of a family $\mathcal{I}$ of intervals of the real line partitioned into at most $k$ classes with vertices adjacent if and only if their corresponding intervals intersect and belong to different classes.
Brown, David E., Flesch, Breeann M., Langley, Larry J.   +2 more
openaire   +2 more sources

Decreased Serum 5‐HT: Clinical Correlates and Regulatory Role in NMJ of MG

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Although 5‐Hydroxytryptamine (5‐HT) indirectly stimulates muscle contraction and participates in regulating Acetylcholine receptor (AChR) cluster homeostasis in cellular, animal, and clinical studies, evidence regarding its potential to modulate muscle contraction in myasthenia gravis (MG) remains limited.
Xinru Shen, Jing Zhang, Xinyue Zhou, Xiaoxiao Yu, Haodong Shang, Shufan Chen, Lulu Zhen, Jinru Wu, Guanlian Hu, Xiaoyan Zhu, Zhan Sun, Yiren Wang, Jiahui Wang, Jie Lv, Xue Zhao, Yingna Zhang, Wei Guo, Ying Peng, Feng Gao   +18 more
wiley   +1 more source

A Novel Study of Graphs Based on m-Polar Cubic Structures

Journal of Function Spaces, 2022
By combining the notions of interval-valued m-polar fuzzy graphs and m-polar fuzzy graphs, the notion of m-polar cubic graphs is first introduced. Then, the degree of a vertex in m-polar cubic graphs and complete m-polar cubic graphs is defined.
G. Muhiuddin, A. M. Alanazi, A. Mahboob, A. H. Alkhaldi, Wejdan Alatwai   +4 more
doaj   +1 more source

Interval graphs and interval orders

Discrete Mathematics, 1985
This paper investigates the connection between interval graphs and interval orders, with special attention to the family of interval orders that agree with or provide representations of an interval graph. Relationships between interval graphs and interval orders that concern the number of lengths required for interval representations and bounds on ...
openaire   +1 more source