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This is a replacement paper. There are 6 chapters. The first two chapters are introductory. The third chapter is on extremal graph theory. The fourth chapter is about algebra in graph theory. The fifth chapter is focused on algorithms. The third section of the fifth chapter deals with computable time.
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The Role of Graph Theory in System of Systems Engineering
The world of system of systems engineering (SoSE), and consequently systems engineering, is currently being reformalized so as to provide greater functionality, integration, and extensibility into designed systems of systems (SoS).
Willie K. Harrison
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Over the past two decades, resting-state functional connectivity (RSFC) methods have provided new insights into the network organization of the human brain.
M. Hallquist, F. Hillary
semanticscholar +1 more source
Aggressive prostate cancer is associated with pericyte dysfunction
Tumor‐produced TGF‐β drives pericyte dysfunction in prostate cancer. This dysfunction is characterized by downregulation of some canonical pericyte markers (i.e., DES, CSPG4, and ACTA2) while maintaining the expression of others (i.e., PDGFRB, NOTCH3, and RGS5).
Anabel Martinez‐Romero +11 more
wiley +1 more source
BRAPH: A graph theory software for the analysis of brain connectivity
The brain is a large-scale complex network whose workings rely on the interaction between its various regions. In the past few years, the organization of the human brain network has been studied extensively using concepts from graph theory, where the ...
M. Mijalkov +4 more
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Urinary LGALS3BP is elevated in bladder cancer patients compared to healthy controls as detected by the 1959 antibody–based ELISA. The antibody shows enhanced reactivity to the high‐mannose glycosylated variant secreted by cancer cells treated with kifunensine (KIF).
Asia Pece +18 more
wiley +1 more source
In this paper we analyze solutions of the problems of the graph theory with computer mathematics systems MAPLE and MATHEMATICA with purpose to reveal the opportunity of the syntax of the main commands, theirs similarities and differences.
Sigita Turskienė +1 more
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On the Edge-Connectivity of an Uncertain Random Graph
Connectivity is one of the most important concepts in graph theory. When graph theory is applied to complex systems with indeterminate factors, uncertainty and randomness are two basic types of indeterminacy.
Hao Li, Hui Zhang
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Survivin and Aurora Kinase A control cell fate decisions during mitosis
Aurora A interacts with survivin during mitosis and regulates its centromeric role. Loss of Aurora A activity mislocalises survivin, the CPC and BubR1, leading to disruption of the spindle checkpoint and triggering premature mitotic exit, which we refer to as ‘mitotic slippage’.
Hana Abdelkabir +2 more
wiley +1 more source
Band connectivity for topological quantum chemistry: Band structures as a graph theory problem [PDF]
The conventional theory of solids is well suited to describing band structures locally near isolated points in momentum space, but struggles to capture the full, global picture necessary for understanding topological phenomena. In part of a recent paper [
B. Bradlyn +9 more
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