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Connected graphs with prescribed median and periphery
1996
Discrete Mathematics
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For graphs F and G and a positive integer m, necessary and sufficient conditions are given for F and G to be the median and periphery, respectively, of some connected graph such that the distance between ...
the median and periphery is m. ...
Thus, F is a complete graph. []
Connected graphs with intersecting median and periphery Let F1, Fz, and K be graphs with K isomorphic to an induced subgraph of both F1 and F2. ...
doi:10.1016/0012-365x(95)00080-g
fatcat:bk6xkx2fg5bb7oyuxxnyjpni4y
Page 4745 of Mathematical Reviews Vol. , Issue 92i
[page]
1992
Mathematical Reviews
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The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
Slater (1-ALH)
92i:05090 05C12 05C20
Chartrand, Gary (1-WMI); Tian, Song Lin (1-CMOS)
Oriented graphs with prescribed m-center and m-median. Czechoslovak Math. J. 41(116) (1991), no. 4, 716-723. ...
with lengths d, e and /, respectively, and K, a complete graph on k vertices. ...
Page 4068 of Mathematical Reviews Vol. , Issue 97G
[page]
1997
Mathematical Reviews
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972:05086
97g:05086 05C20 05C12
Bertz, Lyle (1-CMOS; Warrensburg, MO);
Tian, Songlin (1-CMOS; Warrensburg, MO)
Asymmetric digraphs with prescribed m-median and m-periphery. (English summary)
J. ...
The paper deals with computations of these median orders. First, improvements of a branch and bound method to speed up the enumeration of median orders is presented. ...
Prescribing Associated with High-Risk Opioid Exposures Among Non-cancer Chronic Users of Opioid Analgesics: a Social Network Analysis
2019
Journal of general internal medicine
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despite a steady decline in the number of individual prescriptions directing ≥ 90 morphine milligram equivalents (MME)/day may be explained by patient exposures to redundant prescriptions from multiple prescribers ...
The heat map display was hierarchically sorted along the x-and y-axes by k-shell/core (quantitatively strongest connections displayed in the top left section of the graph) and number of opioid prescription ...
Because the prescriber-beneficiary social network using our data is comprised of a highly connected small group of central nodes surrounded by nodes with decreasing centrality toward the periphery, we ...
doi:10.1007/s11606-019-05114-3
pmid:31420823
pmcid:PMC6848735
fatcat:ds2hixp77zch5mqi4oedtjxgua
Page 6180 of Mathematical Reviews Vol. , Issue 94k
[page]
1994
Mathematical Reviews
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Winters, Strong asymmetric digraphs with prescribed median and periphery (61- 73); Marco Valtorta and M. Ishaq Zahid, Tie-breaking rules for 4x n Warnsdorffs tours (75-86); Robert E. ...
Palmer, The enu- meration of trees with certain local restrictions (183-202); Yingiu Luo and Jie Wu, Gray-code-based cube-connected cubes (203- 211); Renée A. McCauley and W. R. ...
Towards a new approach to reveal dynamical organization of the brain using topological data analysis
2018
Nature Communications
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Using existing multitask fMRI datasets, with the known ground truth about the timing of transitions from one task-block to next, our approach tracks both within-and between-task transitions at a much faster ...
In summary, our approach distills complex brain dynamics into interactive and behaviorally relevant representations. ...
Two groups were formed using a median split based on the overall task performance (low (n = 9) and high performers (n = 9) with a median split at 86.9% accuracy). ...
doi:10.1038/s41467-018-03664-4
pmid:29643350
pmcid:PMC5895632
fatcat:cxbund33zjbf3ilvlenezp5rye
Stability of spontaneous, correlated activity in mouse auditory cortex
2019
PLoS Computational Biology
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The resulting network can be analyzed using mathematical tools from network science and graph theory to quantify the system's topological organization and to better understand its function. ...
Finally, we show that a small fraction of cells maintain strongly-correlated activity over multiple days, forming a stable temporal core surrounded by a fluctuating and variable periphery. ...
The notion of a network in its simplest form is akin to the notion of a graph in the field of mathematics known as graph theory [19] . ...
doi:10.1371/journal.pcbi.1007360
pmid:31815941
pmcid:PMC6968873
fatcat:pnkibdlbsnak5phg3chvf3mfui
Monophonic Distance in Graphs
[chapter]
2018
Graph Theory - Advanced Algorithms and Applications
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For any two vertices u and v in a connected graph G, a u − v path is a monophonic path if it contains no chords, and the monophonic distance d m (u, v) The subgraph induced by the vertices of G having ...
Also it is proved that the monophonic center of every connected graph G lies in some block of G. ...
[35] that a connected graph G of order p ≥ 3 and radius 1 is the detour periphery of some connected graph if and only if G is Hamiltonian. ...
doi:10.5772/intechopen.68668
fatcat:ce4s6h4k4nbqdn7r473g6s7nhe
MONOPHONIC DISTANCE IN GRAPHS
2011
Discrete Mathematics, Algorithms and Applications (DMAA)
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For any two vertices u and v in a connected graph G, a u − v path is a monophonic path if it contains no chords, and the monophonic distance d m (u, v) The subgraph induced by the vertices of G having ...
Also it is proved that the monophonic center of every connected graph G lies in some block of G. ...
[35] that a connected graph G of order p ≥ 3 and radius 1 is the detour periphery of some connected graph if and only if G is Hamiltonian. ...
doi:10.1142/s1793830911001176
fatcat:o7yyuukiynad3mtx4xvnjcs4ee
Stability of spontaneous, correlated activity in mouse auditory cortex
[article]
2018
bioRxiv
pre-print
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The resulting network can be analyzed using mathematical tools from network science and graph theory to quantify the system's topological organization and to better understand its function. ...
Finally, we show that a small fraction of cells maintain strongly-correlated activity over multiple days, forming a stable temporal core surrounded by a fluctuating and variable periphery. ...
ACKNOWLEDGEMENTS RFB and DSB would like to acknowledge support from the John D. and Catherine T. MacArthur Foundation, the Alfred P. Sloan Foundation, the Army Re- ...
doi:10.1101/491936
fatcat:5pgx5f5sgnar5iedgxwxluaonq
Stability of spontaneous, correlated activity in mouse auditory cortex
[article]
2018
arXiv
pre-print
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The resulting network can be analyzed using mathematical tools from network science and graph theory to quantify the system's topological organization and to better understand its function. ...
Neural systems can be modeled as networks of functionally connected neural elements. ...
ACKNOWLEDGEMENTS RFB and DSB would like to acknowledge support from the John D. and Catherine T. MacArthur Foundation, the Alfred P. ...
arXiv:1812.03796v1
fatcat:u24f3auuuzanlfadstnsta6zny
Comparative study of human cancellous bone remodeling to titanium and hydroxyapatite-coated implants
1993
Journal of Arthroplasty
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Ti HA
MAR Periphery (um/day)
> oy
21
CnNAuURWN = ——_ +O + + F Fm — Co _ oO w
Population median
Estimate of median difference
+t 95% confidence interval
P .999 .180
* Patients noncompliant with oxytetracycline ...
prior to the second prescribed TKA surgery and subse- quent implant removal. ...
doi:10.1016/s0883-5403(06)80056-2
pmid:8386746
fatcat:3orv6nn2grga5imp4ghgzndxjy
Core-periphery or decentralized? Topological shifts of specialized information on Twitter
2018
Social Networks
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For the purposes of this study, we refer to subgraphs as a defined set of nodes and arcs of the original Twitter graph selected on the basis of specific characteristics of the message. ...
Highlights • Twitter agriculture social web is modelled with the core-periphery profile approach • Network centralization increases when Twitter users share specialized information • Network shifts from ...
Maximum and minimum core-periphery scores C across communities were .73 and .87 (mean x̄=.78, median x=.77, and standard deviation σ=.04), compared with .60 and .72 for the randomized subgraphs (x̄=.67 ...
doi:10.1016/j.socnet.2017.09.006
fatcat:po6gshmfi5brdp52nkfniv7v7q
Fragmented Networks and Entrepreneurship in Late Imperial Russia
2010
Social Science Research Network
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In contrast, founders are less constrained when they join with partners who are otherwise not connected with each other. ...
For the graphing layout, see the note to figure 2.
Fig. 4 . 4 -Comparison of network core and periphery: Proportion of cofounding ties within categories over entire period, 1869-1913. ...
doi:10.2139/ssrn.1422784
fatcat:vxal2etkjjdorgetnklmow7g2a
Fragmented Networks and Entrepreneurship in Late Imperial Russia
2011
American Journal of Sociology
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In contrast, founders are less constrained when they join with partners who are otherwise not connected with each other. ...
For the graphing layout, see the note to figure 2.
Fig. 4 . 4 -Comparison of network core and periphery: Proportion of cofounding ties within categories over entire period, 1869-1913. ...
doi:10.1086/661772
fatcat:z2vswjfjpjeqje6ub6lktgjmxa
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