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On Irregular Coloring of Some Generalised Graphs
A. Rohini,M. Venkatachalam,Dafik 장전수학회 2020 Advanced Studies in Contemporary Mathematics Vol.30 No.1
Irregular coloring was introduced by Radclie and Zhang in 2006. Irregular coloring follows the condition: (i) proper coloring, (ii) distinct vertices have distinct color codes. The irregular chromatic number denoted by Xir. In this paper, we find the ir-regular chromatic number for the graphs, M(nWm), T(nWm), L(nWm), C(nWm), M(nFm), T(nFm), L(nFm), C(nFm), S(G) and (G).
ON r-DYNAMIC COLORINGS OF THE FRIENDSHIP GRAPH FAMILIES
G. NANDINI,M. Venkatachalam,T. DEEPA,I. N. CANGUL 장전수학회 2021 Advanced Studies in Contemporary Mathematics Vol.31 No.2
Coloring of graphs is an important area in graph theory with numerous applications including the most famous problems related to graphs. An r-dynamic coloring of a graph G is a proper coloring c of the vertices such that |c(N(v))| ≥ min {r, d(v)}, for each vertex v ∈ V (G). The r-dynamic chromatic number of a graph G is the minimum k such that G has an r-dynamic coloring with k colors. In this paper, we obtain the r-dynamic chromatic number of Pn + Fn, Kn + Fn, L(Fn) and central graphs of the friendship graph.
On r-dynamic coloring of n-Sunlet graph families
G. Nandini,M. Venkatachalam,Vernold Vivin. J.,Dafik 장전수학회 2023 Proceedings of the Jangjeon mathematical society Vol.26 No.1
On r-dynamic coloring of n-Sunlet graph families
Amna A. Butt,Folefac D. Atem,Sonja E. Stutzman,Venkatesh Aiyagari,Aardhra M. Venkatachalam,DaiWai M. Olson,Shoji Yokobori 대한신경집중치료학회 2021 대한신경집중치료학회지 Vol.14 No.1
Background: Glasgow Coma Scale (GCS) and the pupillary light reflex (PLR) are important prognostic tools for traumatic brain injury (TBI). This study compared the predictability of GCS, GCS plus manual PLR (GCS-P), GCS plus Neurological Pupil index (GCS-NPi), and average NPi (avgNPi) in predicting discharge outcome in patients diagnosed with TBI. Methods: Data were obtained from a multicenter prospective registry that included 175 subjects with TBI. A nonlinear mixed model (NLMIXED) approach was used to determine which of the following independent variables (GCS, GCS-P, GCS-NPi, and avgNPi) is a better predictor of modified Rankin Scale (mRS) at discharge by fitting four predictive models for comparison. Results: The NLMIXED model for longitudinal data determined that GCS, GCS-P, GCS-NPi, and avgNPi were all significant predictors of mRS at discharge (P<0.001). Age was a significant predictor of the discharge mRS (P<0.001). There was a strong significant correlation between the four predicting variables (P<0.05). The maximum likelihood estimation (MLE) of GCS was –0.17 (P<0.001), MLE of GCS-P was –0.17 (P<0.001), MLE of GCS-NPi was –0.17 (P<0.001), and the MLE of avgNPi was –0.39 (P<0.001). Conclusion: Our findings suggest that any of the four variables (GCS, GCS-P, GCS-NPi, and avgNPi) could be used as a potential predictor of discharge mRS in a patient with TBI. This warrants future investigations to explore the combination of pupillary reactivity scores and NPi with GCS for prognostication in patients with TBI.