Minimum covering energy of a graph
Web15 jun. 2010 · Consider the following undirected graph: The set of vertices {2,4,5} is a minimum vertex cover of the graph. Why? because it's a vertex cover (all edges are covered) and there is no other vertex cover with fewer vertices. The set of vertices {2,3,5,6,7} is a minimal vertex cover. Web12 sep. 2024 · The mechanical energy of the object is conserved, E = K + U, and the potential energy, with respect to zero at ground level, is U (y) = mgy, which is a straight line through the origin with slope mg . In the graph shown in Figure 8.5.1, the x-axis is the height above the ground y and the y-axis is the object’s energy.
Minimum covering energy of a graph
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WebLet G be a graph on n vertices and m edges, with maximum degree Δ(G) and minimum degree δ(G). Let A be the adjacency matrix of G, and let λ1≥λ2≥…≥λn be the … WebGutman [5]has come out with the idea of graph energy as summation of numerical value of latent roots of the adjacency matrix of the given graph Γ. In this paper, we introduce the Minumum Covering Signless Laplacian energy {L} C+ E (Γ ) of a graph Γ and obtain bounds for it. Also we find {L} C+ E (Γ ) of some important class of graphs. Publication:
Web1 jan. 2015 · Abstract In this paper, we introduced the concept of minimum covering color energy ECc (G) of a graph G and computed minimum covering chromatic energies of … Web1 jan. 2024 · In this paper, we introduce the minimum covering Randic energy of a graph. We compute minimum covering Randic energy of some standard graphs and establish …
WebLet C be a minimum covering set of a graph G. The minimum covering matrix of G is the n × n matrix Ac(G) = (aij), where aij = 1 if vivj ∈ E 1 if i = j and vi ∈ C 0 otherwise. (1.1) The characteristic polynomial of Ac(G) is denoted by fn(G; ) := det( I −Ac(G)): The minimum … WebFor any bipartite graph G = (V,E) one has (7) ν(G) = τ(G). That is, the maximum cardinality of a matching in a bipartite graph is equal to the minimum cardinality of a vertex cover. Proof. By (3) it suffices to show that ν(G) ≥ τ(G). We may assume that G has at least one edge. Then: (8) G has a vertex u covered by each maximum-size matching.
Web27 jun. 2013 · Recently Professor Chandrashekar Adiga et al (3) defined the minimum covering energy, EC(G) of a graph which depends on its particular minimum cover C. …
Web27 jun. 2013 · Abstract Recently Professor Chandrashekar Adiga et al [3] defined the minimum covering energy, E C (G) of a graph which depends on its particular … buy hgv trailersWeb24 mrt. 2024 · The vertex set of a graph is therefore always a vertex cover. The smallest possible vertex cover for a given graph is known as a minimum vertex cover (Skiena 1990, p. 218), and its size is called the vertex cover number, denoted . Vertex covers, indicated with red coloring, are shown above for a number of graphs. buy hhc cartridgeWeb27 dec. 2015 · In this paper we have computed minimum covering Seidel energies ofa star graph, complete graph, crown graph, complete bipartite graph and cocktailparty … cemex news today philippinesWebThis paper contains computation of minimum covering Randić energies for some standard graphs like star graph, complete graph, thorn graph of complete graph, crown graph, complete bipartite graph, cocktail graph and friendship graphs. At the end of this paper, upper and lower bounds for minimum covering Randić energy are also presented. buy hgh supplementsWebIt was proved in this paper that the minimum covering Randić energy of a graph G depends on the covering set that we take for consideration. Upper and lower bounds for minimum covering Randić energy are established. A generalized expression for minimum covering Randić energies for star graph, complete graph, thorn graph of com- plete … cemex paving solutions limitedWebThe minimum 2-covering energy of molecular structures involves the smallest set of atoms, such that every atom of the structure, is either in the set, or is connected (via … buy hgv pointsWeb19 okt. 2024 · The minimum edge covering energy and some of the coefficients of the polynomial of well-known families of graphs like Star, Path and Cycle Graphs are … buy hhc carts