The maximum degree in G is denoted by ∆(G) If there is an edge that has nodes u and v as endpoints, u and v are adjacent A node adjacent to all nodes of G
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ON GRAPH ENERGY, MAXIMUM DEGREE AND VERTEX - CORE
and second maximum vertex degree d2 of the connected graph G These upper bounds improve some recently known upper bounds for S (G) Fur- ther, these
[PDF] Maximum number of edges in graph classes under degree - CORE
The maximum degree in G is denoted by ∆(G) If there is an edge that has nodes u and v as endpoints, u and v are adjacent A node adjacent to all nodes of G
On the independence number of graphs with maximum degree 3
Note that if a graph has maximum degree at most 3, then no two triangles in the graph can have exactly one vertex in common The blocks of a graph G are its maximal 2-connected subgraphs, its cut-edges, and its isolated vertices
[PDF] Reducing the maximum degree of a graph by deleting vertices
removed from a non-empty graph G so that the resulting graph has a smaller maximum degree We prove that if n is the number of vertices, k is the maximum
[PDF] Graph Theory
The maximum degree of a graph G, denoted by ∆(G), is defined to be In a graph G, the sum of the degrees of the vertices is equal to twice the number of
[PDF] Graph theory - EPFL
Given a graph G with vertex set V = {v1, ,vn} we define the degree sequence of G to Let v1 ··· vk be a maximal path in G, i e , a path that cannot be extended
[PDF] Graph Theory
Suppose a simple graph has 15 edges, 3 vertices of degree 4, and all others of maximum number of edges in a simple disconnected graph with N vertices?
A Note on Vertex Cover in Graphs with Maximum Degree 3
of vertices with degree ≥ 2 in the graph Combining this result with fast algorithms for the Maximum Independent Set problem in degree-3 graphs, we improve the
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