Rainbow Connection Number and Connectivity [PDF]
The Electronic Journal of Combinatorics, 2012 The rainbow connection number, $rc(G)$, of a connected graph $G$ is the minimum number of colors needed to color its edges, so that every pair of vertices is connected by at least one path in which no two edges are colored the same. Our main result is that $rc(G)\leq \lceil\frac{n}{2}\rceil$ for any 2-connected graph with at least three vertices.
Xueliang Li 0001 +4 more
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Connected locally connected toposes are path-connected [PDF]
Transactions of the American Mathematical Society, 1986 A conjecture of A. Joyal is proved, which states that, in contrast to topological spaces, toposes which are connected and locally connected are also path-connected. The reason for this phenomenon is the triviality of cardinality considerations in the topos-theoretic setting; any inhabited object pulls back to an enumerable object under some open ...
Moerdijk, I., Wraith, G. C.
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Functional connectivity changes and their relationship with clinical disability and white matter integrity in patients with relapsing-remitting multiple sclerosis [PDF]
, 2015 Background and objective: To define the pathological substrate underlying disability in multiple sclerosis by evaluating the relationship of resting-state functional connectivity with microstructural brain damage, as assessed by diffusion tensor maging ...
Filippini, N +8 more
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Connection, Connection, Connection… [PDF]
Science, 2013 [Read the Introduction to this Special Section][1] ![Figure][2] CREDIT: VAN J. WEDEEN, AAPO NUMMENMAA, RUOPENG WANG, AND LAWRENCE L. WALD/MARTINOS CENTER FOR BIOMEDICAL IMAGING, MASSACHUSETTS GENERAL HOSPITAL There are approximately 86 billion neurons in the human brain.
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Early affective changes and increased connectivity in preclinical Alzheimer's disease. [PDF]
, 2018 IntroductionAffective changes precede cognitive decline in mild Alzheimer's disease and may relate to increased connectivity in a "salience network" attuned to emotionally significant stimuli.
Bilgel, Murat +7 more
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Comparative measurement of the breakup length of liquid jets in airblast atomisers using optical connectivity, electrical connectivity and shadowgraphy [PDF]
, 2016 A comparative examination of the optical connectivity, electrical connectivity and shadowgraphy techniques for the measurement of the break-up length of atomising liquid jets from a co-axial airblast atomiser is presented.
Charalampous, G +2 more
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Connected and connectivity multifunctions [PDF]
Proceedings of the American Mathematical Society, 1977 Conditions are given under which multifunctions which preserve connected sets will have a connected graph.
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The Theory of Connections: Connecting Points [PDF]
Mathematics, 2017 This study introduces a procedure to obtain all interpolating functions, y = f ( x ) , subject to linear constraints on the function and its derivatives defined at specified values. The paper first shows how to express these interpolating functions passing through a single point in three distinct ways: linear, additive, and rational. Then, using
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Complementary network-based approaches for exploring genetic structure and functional connectivity in two vulnerable, endemic ground squirrels [PDF]
, 2017 The persistence of small populations is influenced by genetic structure and functional connectivity. We used two network-based approaches to understand the persistence of the northern Idaho ground squirrel (Urocitellus brunneus) and the southern Idaho ...
Adi Barocas +15 more
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Immunization of complex networks [PDF]
, 2002 Complex networks such as the sexual partnership web or the Internet often show a high degree of redundancy and heterogeneity in their connectivity properties. This peculiar connectivity provides an ideal environment for the spreading of infective agents.
Pastor-Satorras, Romualdo +1 more
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