scholarly journals Domination game: Effect of edge contraction and edge subdivision

2020 ◽  
Author(s):  
Tijo James ◽  
Ambat Vijayakumar
Keyword(s):  
Edge Contraction ◽  
Domination Game

In vitro and in vivo Effect of Platelet-Rich Plasma-Based Autologous Topical Serum on Cutaneous Wound Healing

2021 ◽  
pp. 1-13
Author(s):  
Eduardo Anitua ◽  
Victoria Muñoz ◽  
Libe Aspe ◽  
Roberto Tierno ◽  
Adrian García-Salvador ◽  
...  
Keyword(s):  
Wound Healing ◽  
Tissue Damage ◽  
Collagen Synthesis ◽  
Dermal Fibroblast ◽  
Platelet Rich Plasma ◽  
Cell Activity ◽  
Cutaneous Wound Healing ◽  
Cutaneous Wound ◽  
Fibroblast Migration ◽  
Edge Contraction

<b><i>Introduction:</i></b> Skin injury and wound healing is an inevitable event during lifetime. However, several complications may hamper the regeneration of the cutaneous tissue and lead to a chronic profile that prolongs patient recovery. Platelet-rich plasma is rising as an effective and safe alternative to the management of wounds. However, this technology presents some limitations such as the need for repeated blood extractions and health-care interventions. <b><i>Objective:</i></b> The aim of this study was to assess the use of an endogenous and storable topical serum (ES) derived from plasma rich in growth factors promoting wound healing, and to obtain preliminary data regarding its clinical and experimental effect over ulcerated skin models and patient care. <b><i>Methods:</i></b> Human dermal fibroblast and 3D organotypic ulcerated skin models were used to assess ES over the main mechanisms of wound healing including cell migration, edge contraction, collagen synthesis, tissue damage, extracellular matrix remodeling, cell death, metabolic activity, and histomorphometry analysis. Additionally, 4 patients suffering from skin wounds were treated and clinically assessed. <b><i>Results:</i></b> ES promoted dermal fibroblast migration, wound edge contraction, and collagen synthesis. When topically applied, ES increased collagen and elastin deposition and reduced tissue damage. The interstitial edema, structural integrity, and cell activity were also maintained, and apoptotic levels were reduced. Patients suffering from hard-to-heal wounds of different etiologies were treated with ES, and the ulcers healed completely within few weeks with no reported adverse events. <b><i>Conclusion:</i></b> This preliminary study suggests that ES might promote cutaneous wound healing and may be useful for accelerating the re-epithelization of skin ulcers.

Topological features in crystal structures: a quotient graph assisted analysis of underlying nets and their embeddings

2016 ◽  
Vol 72 (3) ◽  
pp. 268-293 ◽  
Author(s):  
Jean-Guillaume Eon
Keyword(s):  
Crystal Structures ◽  
Direct Analysis ◽  
Building Blocks ◽  
Quotient Graph ◽  
Quotient Graphs ◽  
Edge Contraction ◽  
Topological Features ◽  
Structure Decomposition ◽  
Bond Topology ◽  
Ring Analysis

Topological properties of crystal structures may be analysed at different levels, depending on the representation and the topology that has been assigned to the crystal. Considered here is thecombinatorialorbond topologyof the structure, which is independent of its realization in space. Periodic nets representing one-dimensional complexes, or the associated graphs, characterize the skeleton of chemical bonds within the crystal. Since periodic nets can be faithfully represented by their labelled quotient graphs, it may be inferred that their topological features can be recovered by a direct analysis of the labelled quotient graph. Evidence is given for ring analysis and structure decomposition into building units and building networks. An algebraic treatment is developed for ring analysis and thoroughly applied to a description of coesite. Building units can be finite or infinite, corresponding to 1-, 2- or even 3-periodic subnets. The list of infinite units includes linear chains or sheets of corner- or edge-sharing polyhedra. Decomposing periodic nets into their building units relies on graph-theoretical methods classified assurgery techniques. The most relevant operations are edge subdivision, vertex identification, edge contraction and decoration. Instead, these operations can be performed on labelled quotient graphs, evidencing in almost a mechanical way the nature and connection mode of building units in the derived net. Various examples are discussed, ranging from finite building blocks to 3-periodic subnets. Among others, the structures of strontium oxychloride, spinel, lithiophilite and garnet are addressed.

scholarly journals Domination game: extremal families for 3/5-conjecture for forests

2017 ◽  
Vol 37 (2) ◽  
pp. 369 ◽  
Author(s):  
Michael .A. Henning ◽  
Christian Löwenstein
Keyword(s):  
Domination Game

Total Domination Game

2021 ◽  
pp. 47-62
Author(s):  
Boštjan Brešar ◽  
Michael A. Henning ◽  
Sandi Klavžar ◽  
Douglas F. Rall
Keyword(s):  
Total Domination ◽  
Total Domination Game ◽  
Domination Game

scholarly journals Domination game: Extremal families of graphs for3/5-conjectures

2013 ◽  
Vol 161 (10-11) ◽  
pp. 1308-1316 ◽  
Author(s):  
Boštjan Brešar ◽  
Sandi Klavžar ◽  
Gašper Košmrlj ◽  
Douglas F. Rall
Keyword(s):  
Domination Game

scholarly journals The domination game played on unions of graphs

2015 ◽  
Vol 338 (1) ◽  
pp. 71-79 ◽  
Author(s):  
Paul Dorbec ◽  
Gašper Košmrlj ◽  
Gabriel Renault
Keyword(s):  
Domination Game

Effect of vertex-removal on game total domination numbers

2019 ◽  
Vol 13 (07) ◽  
pp. 2050129
Author(s):  
Karnchana Charoensitthichai ◽  
Chalermpong Worawannotai
Keyword(s):  
Domination Number ◽  
Total Domination ◽  
Total Domination Number ◽  
Connected Graphs ◽  
Isolated Vertex ◽  
Vertex Removal ◽  
Total Domination Game ◽  
Domination Game ◽  
Domination Numbers

The total domination game is played on a graph [Formula: see text] by two players, named Dominator and Staller. They alternately select vertices of [Formula: see text]; each chosen vertex totally dominates its neighbors. In this game, each chosen vertex must totally dominates at least one new vertex not totally dominated before. The game ends when all vertices in [Formula: see text] are totally dominated. Dominator’s goal is to finish the game as soon as possible, and Staller’s goal is to prolong it as much as possible. The game total domination number is the number of chosen vertices when both players play optimally, denoted by [Formula: see text] when Dominator starts the game and denoted by [Formula: see text] when Staller starts the game. In this paper, we show that for any graph [Formula: see text] and a vertex [Formula: see text], where [Formula: see text] has no isolated vertex, we have [Formula: see text] and [Formula: see text]. Moreover, all such differences can be realized by some connected graphs.

Sign in / Sign up

Export Citation Format

Share Document