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Clustering for the almost complete graphs

A graph clustering algorithm based on a clustering coefficient for weighted graphs

A graph clustering algorithm based on a clustering coefficient for weighted graphs

... Graph clustering is an important issue for several applications associated with data analysis in ...a clustering algorithm automatically ex- tracts the relevant information present in the ...graph ...

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Complete parameterized presentations and almost convex Cayley graphs

Complete parameterized presentations and almost convex Cayley graphs

... This chapter is meant as a concise introduction to the theory of automatic groups, stating the basic properties and including a short summary. The emphasis is squarely on results which will be referred to later and there ...

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Almost resolvable minimum coverings of complete graphs with 4-cycles

Almost resolvable minimum coverings of complete graphs with 4-cycles

... into almost parallel classes, with any remaining 4-cycles being vertex ...also complete the missing examples of order 23 for the same prob- lem with almost resolvable maximum packings with 4-cycles, ...

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GCD-Graphs and NEPS of Complete Graphs

GCD-Graphs and NEPS of Complete Graphs

... The latter condition means that in case d i < m i the vertices x i and y i are adjacent in G i = Cay(Z m i , S Z mi (d i )), and in case d i = m i we have x i = y i . But this is exactly the condition for adjacency of ...

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Path partitions of almost regular graphs

Path partitions of almost regular graphs

... . If true, this conjecture would be sharp by the following constructions. When Δ ≤ δ + 2, the case where the first bound is at least as large as the second bound, we use the same construction used in [2], a collection of ...

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Clustering with neighborhood graphs

Clustering with neighborhood graphs

... unweighted graphs. However, in practice weighted graphs are frequently used, since it is reasonable to give edges between points which are far away from each other less ...

137

Hypergraceful complete graphs

Hypergraceful complete graphs

... {0, q ∗ , q ∗ − 1, 2, 4, 6} 2 3 Table 17: Vertex labels of K p , p ≥ 7, when n = 2 q − 8. Acknowledgements The third author is thankful to the Director of the Indian Statistical Institute, Kolkata, for providing all the ...

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On the cyclic  decomposition  of complete graphs  into  bipartite graphs

On the cyclic decomposition of complete graphs into bipartite graphs

... It has become a tradition for researchers in this area to introduce variations on Rosa's original labelings and to conjecture that all trees have these lahelings.[r] ...

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Almost all string graphs are intersection graphs of plane convex sets

Almost all string graphs are intersection graphs of plane convex sets

... We use rank(v) to denote the minimum of these ranks over the partition elements. We say v is extreme on Y i if its rank with respect to Y i is less than logn n . We consider next the case that our mediocre string graph ...

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Star Coloring of Cartesian Product of Complete Bipartite Graphs,  Double Star Graphs with Complete Bipartite Graphs

Star Coloring of Cartesian Product of Complete Bipartite Graphs, Double Star Graphs with Complete Bipartite Graphs

... In recent decades, G.Fertin et al[2] have given the star coloring of some families of graphs such as trees, cycles, complete bipartite and obtained the bounds for the star chromatic [r] ...

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Clustering of RCE Workflow Graphs

Clustering of RCE Workflow Graphs

... 4.1 Mappings have a direction as their purpose is to transfer information from a defined start point to a defined end point. Our goal is to preserve most of the information of the workflow when creating a graph. As we ...

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Symmetric graphs with complete quotients ∗

Symmetric graphs with complete quotients ∗

... ratio graphs and twisted cross ratio graphs, have been studied in detail in [9]; their full automorphism groups are determined there, as are the small number of exceptional isomorphisms between ...symmetric ...

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2 Complete multipartite graphs

2 Complete multipartite graphs

... Therefore, under the labeling f , every vertex x obtains the same weight, w(x) = 2m{(9m + 6) + (k − 1)(2m + 2) + (k − 1)(2k + 3)(2m + 1)}. 2 Of course, there are many multipartite graphs in which the number of ...

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Geometric Thickness of Complete Graphs

Geometric Thickness of Complete Graphs

... of complete graphs, {K n ...of complete bipartite ...of complete graphs, there are complete bipartite graphs with arbitrarily large numbers of vertices for which the ...

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On multiplicity of quadrilaterals in Complete graphs

On multiplicity of quadrilaterals in Complete graphs

... In this paper, we determine a lower bound for the multiplicity of quadrilaterals (cycles on four vertices) in complete graph K n for any positive integer n.. Key words : Complete graphs;[r] ...

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Packing bipartite graphs with covers of complete bipartite graphs

Packing bipartite graphs with covers of complete bipartite graphs

... bipartite graphs, the following are ...bipartite graphs and showed that the K 2 , 1 -Factor problem stays NP -complete when restricted to the class of bipartite ...bipartite graphs. Our ...

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On the Lovasz O-number of Almost Regular Graphs With Application to Erdos-Renyi Graphs

On the Lovasz O-number of Almost Regular Graphs With Application to Erdos-Renyi Graphs

... 7 Conclusion In this paper we have studied the Lov´ asz ϑ-number [13] and Schrijver ϑ 0 –number for certain classes of graphs. We have showed how the semidefinite programming problems used to compute these numbers ...

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Transform America. A Fundamental Transformation Almost Complete

Transform America. A Fundamental Transformation Almost Complete

... Americ a’ s Planned “Spon taneous Uprising ” An HONEST COVID‐19 Message www.ub‐thechange.org 10 YOU are responsible for YOUR HEALTH! The risks associated with COVID Pandemic are very[r] ...

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Almost flow equivalence and the loop structure of directed graphs

Almost flow equivalence and the loop structure of directed graphs

... We now complete the proof of the theorem, proving the proposition afterwards. Let A’ and B’ have the same cyclic T-group. By 5.2 we find matrices of maximal type A and B flow equivalent respectively to A’ and B \ ...

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Almost-spanning universality in random graphs (Extended abstract)

Almost-spanning universality in random graphs (Extended abstract)

... the graphs we are hoping to embed are almost spanning rather than ...to complete the removed cycles nor how to add small components back into the graph without making heavy use of the ...

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