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A comprehensive survey of proper connection of graphs is discussed in this book with real world applications in computer science and network security. Beginning with a brief introduction, comprising relevant definitions and preliminary results, this book moves on to consider a variety of properties of graphs that imply bounds on the proper connection number. Detailed proofs of significant advancements toward open problems and conjectures are presented with complete references. Researchers and graduate students with an interest in graph connectivity and colorings will find this book useful as it builds upon fundamental definitions towards modern innovations, strategies, and techniques. The detailed presentation lends to use as an introduction to proper connection of graphs for new and advanced researchers, a solid book for a graduate level topics course, or as a reference for those interested in expanding and further developing research in the area.

Mathematics. --- Combinatorics. --- Graph theory. --- Graph Theory. --- Graph connectivity. --- Connectivity of graphs --- Graph theory --- Combinatorics --- Algebra --- Mathematical analysis --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Extremal problems

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The neurorehabilitation field is increasingly focused on understanding how to efficiently revert the effects that acute (i.e., stroke or traumatic brain injury) or chronic (i.e., neurodegenerative diseases) insults play either on small or large-scale networks, encompassing motor, sensory and cognitive domains. The link between the disrupted neuronal pulse generators and their effectors is being re-shaped through a wide scenario that embraces biorobotics, robot-aided rehabilitation, non-invasive neurostimulation, nanoprosthetics and neuroengineering. For the past decade and at an amazing speed, large investments and efforts allowed enthusiastic and only apparently heterogeneous researchers to borrow theories from neurophysiology, pharmacology, physics and quantum mechanics in order to generate together highly sophisticated tools that restore, resemble or even substitute the basic biological architecture. The idea of actually reverting weakened functions and/or replacing the faulty parts either of the human body or the central and peripheral nervous system is becoming a new reality, opening a fascinating era in this field. In this Research Topic, several researchers showed how the above principles became reality, from theory to the bedside of patients, providing full explanations of the whole mechanistic processes and how they were implemented, up to the final stage.

rehabilitation --- functional connectivity --- tDCS --- non-invasive techniques --- neurodegeneration --- biorobotics --- nanotechnology --- translational research --- neurophysiology --- neurostimulation

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Perseverative cognition is defined as the repetitive or sustained activation of cognitive representations of past stressful events or feared events in the future and even at non-clinical levels it causes a “fight-or-flight” action tendency, followed by a cascade of biological events, starting in the brain and ending as peripheral stress responses. In the past decade, such persistent physiological activation has proven to impact individuals’ health, potentially leading to somatic disease. As such, perseverative cognition has recently been proposed as the missing piece in the relationships between stress, psychopathology, and risk for health. Perseverative cognition is indeed a hallmark of conditions such as anxiety and mood disorders that are at increased -though still unexplained- cardiovascular risk. Although the pivotal role of ruminative and worrisome thoughts in determining the onset and maintenance of psychopathological disorders has been acknowledged for a long time, its effects on the body via reciprocal influences between mental processes and the body's physiology have been neglected. Moreover, perseverative cognition is definitely not restricted to psychopathology, it is extremely common and likely even omnipresent, pervading daily life. The objective of the Research Topic is to provide an interdisciplinary examination of cutting-edge neuroscientific research on brain-body signatures of perseverative cognition in both healthy and psychopathological individuals. Despite the evident role of the brain in repetitive thinking and the assumption that our mind is embodied, bran-body pathways from perseverative cognition to health risk have remained largely unexplored.

functional connectivity --- brain-body interaction --- perseverative cognition --- heart rate variability --- generalized anxiety disorder

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• Reference Manager
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The neurorehabilitation field is increasingly focused on understanding how to efficiently revert the effects that acute (i.e., stroke or traumatic brain injury) or chronic (i.e., neurodegenerative diseases) insults play either on small or large-scale networks, encompassing motor, sensory and cognitive domains. The link between the disrupted neuronal pulse generators and their effectors is being re-shaped through a wide scenario that embraces biorobotics, robot-aided rehabilitation, non-invasive neurostimulation, nanoprosthetics and neuroengineering. For the past decade and at an amazing speed, large investments and efforts allowed enthusiastic and only apparently heterogeneous researchers to borrow theories from neurophysiology, pharmacology, physics and quantum mechanics in order to generate together highly sophisticated tools that restore, resemble or even substitute the basic biological architecture. The idea of actually reverting weakened functions and/or replacing the faulty parts either of the human body or the central and peripheral nervous system is becoming a new reality, opening a fascinating era in this field. In this Research Topic, several researchers showed how the above principles became reality, from theory to the bedside of patients, providing full explanations of the whole mechanistic processes and how they were implemented, up to the final stage.

rehabilitation --- functional connectivity --- tDCS --- non-invasive techniques --- neurodegeneration --- biorobotics --- nanotechnology --- translational research --- neurophysiology --- neurostimulation

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Perseverative cognition is defined as the repetitive or sustained activation of cognitive representations of past stressful events or feared events in the future and even at non-clinical levels it causes a “fight-or-flight” action tendency, followed by a cascade of biological events, starting in the brain and ending as peripheral stress responses. In the past decade, such persistent physiological activation has proven to impact individuals’ health, potentially leading to somatic disease. As such, perseverative cognition has recently been proposed as the missing piece in the relationships between stress, psychopathology, and risk for health. Perseverative cognition is indeed a hallmark of conditions such as anxiety and mood disorders that are at increased -though still unexplained- cardiovascular risk. Although the pivotal role of ruminative and worrisome thoughts in determining the onset and maintenance of psychopathological disorders has been acknowledged for a long time, its effects on the body via reciprocal influences between mental processes and the body's physiology have been neglected. Moreover, perseverative cognition is definitely not restricted to psychopathology, it is extremely common and likely even omnipresent, pervading daily life. The objective of the Research Topic is to provide an interdisciplinary examination of cutting-edge neuroscientific research on brain-body signatures of perseverative cognition in both healthy and psychopathological individuals. Despite the evident role of the brain in repetitive thinking and the assumption that our mind is embodied, bran-body pathways from perseverative cognition to health risk have remained largely unexplored.

functional connectivity --- brain-body interaction --- perseverative cognition --- heart rate variability --- generalized anxiety disorder