2024 Minimum covering energy of a graph

Minimum covering energy of a graph

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August undefined, 2024

WebThe 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 … Web20 okt. 2010 · Convert your input graph G (V, E) to a weighted graph G' (N, D), where N is the subset of vertices you want to cover and D is distances (path lengths) between corresponding vertices in the original graph. This will "collapse" all vertices you don't need into edges. Compute the minimum spanning tree for G'.

Minimum Covering Maximum Degree Energy of a Graph

WebThe minimum covering energy of G is then defined as Ec (G) = ∑𝑛𝑖=1 𝜆𝑖 . In [1] some basic properties of minimum covering energy are discussed and some upper and lower bounds for Ec (G) are given. Also minimum covering energies of star graphs, complete graphs etc are obtained. Web5 okt. 2024 · In this paper, we introduced the concept of minimum covering color Laplacian energy LEχC(G) of a graph G and computed minimum covering chromatic Laplacian energies of star graph, complete graph, cr... Minimum covering color Laplacian energy of a graph: AIP Conference Proceedings: Vol 2261, No 1 MENU … djeli kani fanta

The Minimum Edge Covering Energy of a Graph - ResearchGate

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. WebIn this paper we introduce a new kind of graph energy, the minimum covering energy, Ec (G) . It depends both on the underlying graph G, and on its particular minimum cover C. … djeli kaba bitou

Edge Cover Brilliant Math & Science Wiki

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 … Web24 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. djeli karouga sissokoWeb20 feb. 2024 · Given a connected graph, how can we prove that the number of edge of its minimum edge cover plus its maximum matching is equal to the number of vertices? Stack Exchange Network Stack Exchange network consists of 181 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, … djeli mamadou kouyate

"WebIn this paper we introduce a new kind of graph energy, the minimum covering energy, Ec(G) . It depends both on the underlying graph G, and on its particular minimum cover … " - Minimum covering energy of a graph

Minimum covering energy of a graph

graph theory - Prove that the sum of minimum edge cover and …

WebIt 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 … 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 …

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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 … Web5 okt. 2024 · In this document, we compute minimum covering q-distance energies of a star graph, cocktail party graph, crown graph and complete graph. Minimum covering …

Web19 sep. 2024 · The maximum size of a minimal vertex cover in this graph is 3: the sets { v 1, v 3, v 5 } and { v 2, v 3, v 5 } are two examples that achieve this. Notice by the second example that these are not necessarily independent sets. I'm interested in how to find maximum minimal vertex covers, but equally interested in determining or bounding the … Web15 mrt. 2024 · The concept of minimum covering distance energy ECd (G) of a graph G is introduced andMinimum covering distance energies of a star graph, complete graph, …

Web28 nov. 2016 · This paper contains computation of minimum covering Randic energies for some standard graphs like star graph, completegraph, thorn graph of complete graph, … WebBased on it, upper bounds for (ordinary) graph energy, minimum dominating energy, minimum covering energy, Laplacian-energy-like invariant, Laplacian energy, Randić energy, and incidence energy are obtained. References bib0001 C. Adiga, A. Bayad, I. Gutman, S.A. Srinivas, The minimum covering energy of a graph, Karagujevac J. Sci., …

Web27 dec. 2015 · In this paper we have computed minimum covering Seidel energies ofa star graph, complete graph, crown graph, complete bipartite graph and cocktailparty …

Web22 mei 2024 · A minimum vertex cover can be found by first finding a maximum cardinality bipartite matching, for example in O ( E *sqrt ( V )) time using the Hopcroft-Karp algorithm, and then applying this algorithm. Share Follow answered May 22, 2024 at 9:29 j_random_hacker 50.1k 10 105 169 Add a comment 0 This algorithm is fast and simple … djeliba24Web27 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. … djeli sayonWeb1 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 … djeli meaningWeb19 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 … djeli kandia kouyatéWebThis 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. djeliba danceWebA minimum edge covering is an edge covering using the smallest possible number of edges. In the graphs below, the minimum edge covering is indicated by red edges. The edge covering number is is the size of the smallest edge … djeli manaWeb5 dec. 2016 · Using minimum covering set, we have introduced the minimum covering Randić energy ( ) C RE G of a graph G in this paper. At the end of this paper, upper and … djeli n'goni