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The b-chromatic number of a graph G is the largest integer k such that G admits a proper k-coloring in which every color class contains at least one vertex adjacent to some vertex in all the other color classes. It is proved that with four exceptions, the b-chromatic number of cubic graphs is 4. The exceptions are the Petersen graph, K 3,3 , the prism over… (More)
The purpose of this study is to compute the b-chromatic number of central graph of star graph and Multi star Graphs and. More Specifically, for any star graph for any double star graph and for the triple star graph,. Also find out the b-chromatic number of central graph of Fire cracker graph and Banana tree graph.
Graphs S[n, k] are introduced as the graphs obtained from the Sierpi´nski graphs S(n, k) by contracting edges that lie in no triangle. The family S[n, k] is a previously studied class of Sierpi´nski gasket graphs S n. Several properties of graphs S[n, k] are studied in particular, hamiltonicity and chromatic number.
The b-chromatic number of a graph G is the largest integer k such that G admits a proper k-coloring in which every color class contains at least one vertex that has a neighbor in each of the other color classes. We prove that every d-regular graph with at least 2d 3 vertices has b-chromatic number d + 1, that the b-chromatic number of an arbitrary d-regular… (More)
Vertex-colorings, edge-colorings and total-colorings of the Sierpi´nski gasket
Introduction Despite rehabilitation and reconstructive role, fixed prosthodontic has preventive role that means preservation of natural teeth in older age (1-4). There is a large number of therapeutical possibilities depending on knowledge and skill of dentist and technician. Implantology as part of oral surgery has to be bonded with prosthetic dentistry… (More)
Bite force is the condition, expression and measure of the masticatory function. The purpose of this study was to examine, by means of a newly constructed electronic gnathodynamometer, the values of maximal bite forces in subjects with complete dentition, the time in which they express 50% and 75% respectively of the total forces value, and the shape of the… (More)
(4,9±0, µg/cm 2), a najveći kod glinične keramike (Vitadur alpha) (15,0±0,2 µg/ cm 2). Litijska disilikatna staklo-keramika (IPS-Empress 2 za bojenje) i glinična (IPS-Classic) pokazale su vrlo slične rezultate (9,4±,4 µg/cm 2 i 10,1±0, µg/cm 2). Vri-Introduction Dental materials need to be thoroughly examined in order to assess their therapeutic value. One… (More)
A b-coloring is a proper vertex coloring of a graph such that each color class contains a vertex that has a neighbor in all other color classes and the b-chromatic number is the largest integer ϕ(G) for which a graph has a b-coloring with ϕ(G) colors. We determine some upper and lower bounds for the b-chromatic number of the strong product G H, the… (More)