Results 31 to 40 of about 3,066,756 (267)
Packing Smaller Graphs into a Graph
AbstractLet G be a graph.
Shin-ichi Tokunaga+2 more
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Embedding Graphs into Embedded Graphs [PDF]
A (possibly denerate) drawing of a graph $G$ in the plane is approximable by an embedding if it can be turned into an embedding by an arbitrarily small perturbation. We show that testing, whether a straight-line drawing of a planar graph $G$ in the plane is approximable by an embedding, can be carried out in polynomial time, if a desired embedding of ...
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Graph saturation in multipartite graphs [PDF]
16 pages, 4 ...
Florian Pfender+3 more
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Smith forms for adjacency matrices of circulant graphs [PDF]
We calculate the Smith normal form of the adjacency matrix of each of the following graphs or their complements (or both): complete graph, cycle graph, square of the cycle, power graph of the cycle, distance matrix graph of cycle, Andrásfai graph, Doob ...
Williams, Gerald
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The crossing numbers of join products of paths with three graphs of order five [PDF]
The main aim of this paper is to give the crossing number of the join product \(G^\ast+P_n\) for the disconnected graph \(G^\ast\) of order five consisting of the complete graph \(K_4\) and one isolated vertex, where \(P_n\) is the path on \(n\) vertices.
Michal Staš, Mária Švecová
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Graph equations for line graphs, total graphs, middle graphs and quasi-total graphs
AbstractLet G be a graph with vertex-set V(G) and edge-set X(G). Let L(G) and T(G) denote the line graph and total graph of G. The middle graph M(G) of G is an intersection graph Ω(F) on the vertex-set V(G) of any graph G. Let F = V′(G) ∪ X(G) where V′(G) indicates the family of all one-point subsets of the set V(G), then M(G) = Ω(F).The quasi-total ...
D. V. S Sastry, B.Syam Prasad Raju
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This article proposes a class of dependencies for graphs, referred to as graph entity dependencies (GEDs). A GED is defined as a combination of a graph pattern and an attribute dependency. In a uniform format, GEDs can express graph functional dependencies with constant literals to catch inconsistencies, and keys ...
Fan, Wenfei, Lu, Ping
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On Rainbow Antimagic Coloring of Joint Product of Graphs
Let be a connected graph with vertex set and edge set . A bijection from to the set is a labeling of graph . The bijection is called rainbow antimagic vertex labeling if for any two edge and in path , where and .
Brian Juned Septory+3 more
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Graph equations for line graphs and total graphs
AbstractAll pairs (G,H) of graphs G,H satisfying L(G) = T(H) are determined. The “graph equation“ L(G)= T(H) is also solved.
Slobodan K. Simi, Dragos M. Cvetkovi
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