On (2,K)-Regular and Totally (2,K)-Regular Fuzzy Graphs

CO2 Fixation into Novel CO2 Storage Materials Composed of 1,2‐Ethanediamine and Ethylene Glycol Derivatives

“…[13] However,t he results in Table 1d emonstratedt hat the actual reactions toichiometry is 0.62 to 0.91 in the EDA + EGs systems, probably because someE DA amino groups and EGs hydroxyl groups are inaccessible to CO 2 molecules under atmosphericp ressure. Most importantly,t he actual reaction stoichiometry is 1.13 in the aqueous PCO 2 SM solution with about 0.42 mol EDA/L (Figure 3), whereas ap reviousr eport indicatedt hat one mole of DBU consumes 1.04 to 1.11moles of CO 2 , [14] suggesting that our systemsp ossessr emarkable reac- www.chemphyschem.org tivity and superior absorption capacity.A tt he same time, the loading performance of CO 2 in variousa queous alkanolamines was presented in the previous work, [15] which included MEA (0.4628), DEA (0.2360), TEA (0.1944), MAE (0.6510), and AMP (0.8590) mol CO 2 per mol amine. By contrast, this paper reports an ovel CO 2 absorption system, whichh as higherC O 2 loading capacity.…”

A New Approach on Bipolar Second Degree Perfect Fuzzy Matching for Bipolar Fuzzy Graphs Based on Vertices

“…Seethalakshmi and Gnanajothi [22] derived the necessary conditions of fuzzy graph on a cycle. The concept of 𝑑 2 − 𝑑𝑒𝑔𝑟𝑒𝑒 and total 𝑑 2 − 𝑑𝑒𝑔𝑟𝑒𝑒 of a vertex in a fuzzy graph was defined by Sekar and Santhimaheswari [24]. Ravi Narayanan and SanthiMaheswari introduced 𝑑 2 − 𝑑𝑒𝑔𝑟𝑒𝑒 and 𝑑 𝑚 − 𝑑𝑒𝑔𝑟𝑒𝑒 of a vertex in bipolar fuzzy graph [18] [19].…”

Square Perfect Fuzzy Matching

“…For a given graph ‫,ܩ‬ the ݀ ଶ degree of a vertex ‫ݑ‬ in ‫,ܩ‬denoted by ݀ ଶ ‫)ݑ(‬ means number of vertices at a distance two away from ‫.ݑ‬ Definition 2.4. [6] Let ‫:ܩ‬ (ߪ, ߤ) be a fuzzy graph. The ݀ ଶ degree of a vertex ‫ݑ‬ is ݀ ଶ ‫)ݑ(‬ = ∑ ߤ ଶ ‫,ݑ(‬ ‫)ݒ‬…”

“…Definition 2.7. [6] Let ‫:ܩ‬ (ߪ, ߤ ) be a fuzzy graph on ‫ܩ‬ * : ( ܸ , ‫ܧ‬ ). If ݀ ଶ ‫)ݑ(‬ = ݇ for all ‫ݑ‬ ∈ ܸ, then ‫ܩ‬ is said to be ( 2, ݇ ) regular fuzzy graph.…”

“…Alison Northup [1] studied some properties on (2, ݇) regular graph in her bachelor thesis. In [7], the authors introduced ݀ ଶ of a vertex in product graphs and also they discussed on (2, ݇) regular and totally (2, ݇) regular fuzzy graphs in [6]. Seethalakshmi and Gnanajothi studied about perfect fuzzy matching [8].…”