Results 81 to 90 of about 1,402,601 (292)
Total colorings of some classes of four regular circulant graphs
AKCE International Journal of Graphs and CombinatoricsThe total chromatic number, [Formula: see text] is the minimum number of colors which need to be assigned to obtain a total coloring of the graph G. The Total Coloring Conjecture (TCC) made independently by Behzad and Vizing that for any graph, [Formula:
R. Navaneeth +3 more
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The History of the Total Chromatic Number Conjecture
, 2011 The total chromatic number conjecture which has appeared in a few hundred articles and in numerous books thus far is now one of the classic mathematical unsolved problems. It appears that many authors coincidentally have attributed it to Professor M. Behzad and/or to Professor V. G. Vizing. Eventually after four decades, Professor A.
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The total-chromatic number of some families of snarks
Discrete Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. N. Campos +2 more
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Lead‐Free Chiral Hybrid Metal Halides for Circularly Polarized Light‐Emitting Diodes
Advanced Optical Materials, EarlyView.Lead‐free chiral hybrid metal halides provide a versatile platform for realizing chiroptical responses through chiral modulation of metal–halide frameworks with diverse dimensionalities, induces inversion‐symmetry breaking and enables dissymmetric excited‐state transitions toward efficient circularly polarized luminescence and electroluminescence. This
Kun Zhu, Li Wan
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A total-chromatic number analogue of plantholt's theorem
Discrete Mathematics, 1990 Let \(n\geq 1\), let J be a subgraph of \(K_{2n}\), let \(e=| E(J)|\) and let j be the maximum size of a matching in J. In this paper it is proved that \(\chi_ T(K_{2n}\setminus E(J))=2n+1\) \((=\chi_ T(K_{2n}))\) if and only if \(e+j\leq n-1,\) thus obtaining a total- chromatic number analogue of Plantholt's theorem about the chromatic index of the ...
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The total geo chromatic number of a graph
Malaya Journal of Matematik, 2020 A total geo chromatic set of a graph \(G\) is a geo chromatic set \(S_c\) such that the subgraph induced by \(S_c\) has no isolated vertices. The minimum cardinality of a total geo chromatic set of \(G\) is the total geo chromatic number of \(G\) and is denoted by \(\chi_{t g}(G)\). A total geo chromatic set of cardinality \(\chi_{t g}(G)\) is called a
null S. Annie Ajila +1 more
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Advanced Optical Materials, EarlyView.Networks of confined CsPbBr3 perovskite quantum dots, synthesised within nanoporous silica scaffolds using precursors containing different combinations of butylammonium bromide and crown ether additives, enable electroluminescent devices with 400‐fold enhanced charge injection and transport with respect to control devices, yielding ultrapure green ...
Carlos Romero‐Pérez +4 more
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On the set of circular total chromatic numbers of graphs
Discrete Mathematics, 2013 For every integer $r\ge3$ and every $\eps>0$ we construct a graph with maximum degree $r-1$ whose circular total chromatic number is in the interval $(r,r+\eps)$. This proves that (i) every integer $r\ge3$ is an accumulation point of the set of circular total chromatic numbers of graphs, and (ii) for every $Δ\ge2$, the set of circular total ...
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Upper Bounds for the Total Chromatic Number of Join Graphs and Cobipartite Graphs
International Conference on Operations Research and Enterprise Systems, 2018 We concern ourselves with the combinatorial optimisation problem of determining a minimum total colouring of a graph G for the case wherein G is a join graph G = G1 ∗G2 or a cobipartite graph G = (V1 ∪V2,E(G)).
L. Zatesko, R. Carmo, A. Guedes
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TacScope: A Miniaturized Vision‐Based Tactile Sensor for Surgical Applications
Advanced Robotics Research, EarlyView.TacScope is a compact, vision‐based tactile sensor designed for robot‐assisted surgery. By leveraging a curved elastomer surface with pressure‐sensitive particle redistribution, it captures high‐resolution 3D tactile feedback. TacScope enables accurate tumor detection and shape classification beneath soft tissue phantoms, offering a scalable, low‐cost ...
Md Rakibul Islam Prince +3 more
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