Observer-Based Positive Edge Consensus for Undirected Nodal Networks

Author(s):  
Yuchen Qian ◽  
Wei Zhang ◽  
Mingming Ji ◽  
Chenhang Yan
Keyword(s):  
2020 ◽  
Vol 14 (2) ◽  
pp. 352-357 ◽  
Author(s):  
Yuchen Qian ◽  
Wei Zhang ◽  
Mingming Ji ◽  
Chenhang Yan
Keyword(s):  

2013 ◽  
Vol 05 (02) ◽  
pp. 1360002 ◽  
Author(s):  
TIZIANA CALAMONERI ◽  
ROSSELLA PETRESCHI ◽  
BLERINA SINAIMERI

A graph G is called a pairwise compatibility graph (PCG) if there exists a positive edge weighted tree T and two non-negative real numbers d min and d max such that each leaf lu of T corresponds to a node u ∈ V and there is an edge (u, v) ∈ E if and only if d min ≤ dT (lu, lv) ≤ d max , where dT (lu, lv) is the sum of the weights of the edges on the unique path from lu to lv in T. In this paper we study the relations between the pairwise compatibility property and superclasses of threshold graphs, i.e., graphs where the neighborhoods of any couple of nodes either coincide or are included one into the other. Namely, we prove that some of these superclasses belong to the PCG class. Moreover, we tackle the problem of characterizing the class of graphs that are PCGs of a star, deducing that also these graphs are a generalization of threshold graphs.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Maria Giovanna Mora ◽  
Alessandro Scagliotti

Abstract In this paper, we characterize the equilibrium measure for a family of nonlocal and anisotropic energies I α I_{\alpha} that describe the interaction of particles confined in an elliptic subset of the plane. The case α = 0 \alpha=0 corresponds to purely Coulomb interactions, while the case α = 1 \alpha=1 describes interactions of positive edge dislocations in the plane. The anisotropy into the energy is tuned by the parameter 𝛼 and favors the alignment of particles. We show that the equilibrium measure is completely unaffected by the anisotropy and always coincides with the optimal distribution in the case α = 0 \alpha=0 of purely Coulomb interactions, which is given by an explicit measure supported on the boundary of the elliptic confining domain. Our result does not seem to agree with the mechanical conjecture that positive edge dislocations at equilibrium tend to arrange themselves along “wall-like” structures. Moreover, this is one of the very few examples of explicit characterization of the equilibrium measure for nonlocal interaction energies outside the radially symmetric case.


2006 ◽  
Vol 33 (2) ◽  
pp. 121 ◽  
Author(s):  
Elaine K. Harding ◽  
Shirin Gomez

In this study we examined the potential for positive edge effects on folivorous arboreal marsupials inhabiting upland rainforest in the Wet Tropics region of far north Queensland, Australia. We predicted that the folivores should have increased densities at edges relative to interior forest 90 m from the edge owing to the following causal factors, either separately or in combination: (a) increased foliar biomass, measured as vertical foliage density; and/or (b) increased abundance of preferred food trees. To test these hypotheses, we conducted surveys of the lemuroid ringtail possum (Hemibelideus lemuroides), the green ringtail possum (Pseudochirops archeri), the Herbert River ringtail possum (Pseudochirulus herbertensis) and the coppery brushtail possum (Trichosurus vulpecula johnstonii) at two remnant rainforest sites with ‘hard’ edges such as roads or pasture. Because arboreal species are often difficult to survey accurately within forests, we utilised pellet counts as an index of the population and compared this to the common survey technique of night spotlighting. Our results indicated that pellet counts, combined over all species, were positively and strongly correlated with spotlighting results. Using pellet counts as a relative index of arboreal folivore populations, we found that edge transects contained a higher abundance of all species combined than did interior transects. Further, total foliage density in the 10–30-m vertical transect was found to be significantly correlated with total pellet counts at edge transects. Total preferred tree species was not significantly different between edge and interior transects. From these results we propose that foliage density, as a surrogate for biomass, is a possible mechanism explaining the higher abundance of arboreal marsupials at the edges of these two highland rainforest sites in north Queensland.


Networks ◽  
2015 ◽  
Vol 65 (3) ◽  
pp. 205-211 ◽  
Author(s):  
Bang Ye Wu ◽  
Hung-Lung Wang

2019 ◽  
Vol 64 (3) ◽  
pp. 1244-1249 ◽  
Author(s):  
Housheng Su ◽  
Han Wu ◽  
James Lam

2020 ◽  
Vol 52 (6) ◽  
Author(s):  
Foo Kui Law ◽  
M. Rakib Uddin ◽  
Angie Teo Chen Chen ◽  
Bikash Nakarmi

2014 ◽  
Vol 49 ◽  
pp. 41-46 ◽  
Author(s):  
Mehdi Towhidi ◽  
Jacques Desrosiers ◽  
François Soumis
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document