[PDF] Top 20 0n removable cycles in graphs and digraphs
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0n removable cycles in graphs and digraphs
... Proof. The proof follows from Theorem (1.16) and the fact, that removing the edges of any cycle from an Eulerian graph preserve the even degree for the vertices of G. Now, we prove the sufficient conditions for existence ... See full document
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Vertex Removable Cycles of Graphs and Digraphs
... edge removable cycle with respect of the following, if ℑ is a class of graphs (digraphs), satisfying some property, the cycle C in G is called edge removable if G − E(C) ∈ ℑ ... See full document
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Large butterfly Cayley graphs and digraphs
... Our concern here is with large Cayley graphs and digraphs. Recall that, for a group G and a unit-free generating subset S of G, the Cayley digraph of G generated by S has vertex set G and a directed edge ... See full document
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On Eccentric Digraphs of Graphs
... antities are denoted p(G) and t(G) respectively. In [8,10] Boland et al. have discussed many interesting results about eccentric digraphs. Also they have listed open problems about these graphs. One of ... See full document
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Antipodal graphs and digraphs
... If G is a self-antipodal graph and 0 is the natural one-to-one correspondence from the set of symmetric digraphs to the set of graphs,.. ed; so G is connected.[r] ... See full document
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Mod difference labeling of some classes of digraphs
... A graph is a difference graph if there is a bijection f from V to a set of positive integers S such that xy ∈ E if and only if | f (x) − f (y)| ∈ S. A digraph D = (V, E) is a mod difference digraph if there exist a ... See full document
5
Disruption of cell wall fatty acid biosynthesis in Mycobacterium tuberculosis using a graph theoretic approach
... The graphs (digraphs) representing this biological network provide information concerning the connectivity of each protein or metabolite in a given pathway, providing an insight into the importance of ... See full document
13
Universal hypotrochoidic law for random matrices with cyclic correlations
... dense graphs with random weights we can obtain the eigenvalues of their adjacency matrix by the previous ...erated digraphs in which each node belongs to exactly d directed cycles of length k were ... See full document
5
On well quasi order of graph classes under homomorphic image orderings
... all graphs, digraphs and tournaments, under the homomorphic image ordering (in both its stan- dard and strong ...for graphs under the strong ordering, where some open questions ... See full document
17
Super Edge Graceful and Even Edge Graceful Labeling of Cayley Digraphs
... by graphs or digraphs according to the path (one way or two ways) between the nodes ...Cayley digraphs which provide the optimum solution for the above ... See full document
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Universal hypotrochoidic law for random matrices with cyclic correlations
... dense graphs with random weights we can obtain the eigenvalues of their adjacency matrix by the previous ...generated digraphs in which each node belongs to exactly d directed cycles of length k were ... See full document
5
Nonderogatory Directed Webgraph
... Let 𝐺 be a digraph with vertices labelled {1, 2, . . . , 𝑛} and its adjacency matrix 𝐴(𝐺) the 𝑛 × 𝑛 matrix whose 𝑖𝑗th entry is the number of arcs joining vertex 𝑖 to vertex 𝑗. A digraph is nonderogatory if the ... See full document
5
Vertex Even Mean Labeling of New Families of Graphs
... on cycles with parallel chords we have obtained new families of graphs namely chain of even cycles with parallel chords, crown with parallel chords, subdivided cycle with parallel chords, two copies ... See full document
12
Hamilton Cycle Heuristics in Hard Graphs
... larger graphs resulted in significant memory ...For graphs with the kind of regular structure of the middle two levels or Kneser graphs, this calculation could be done quite ...Kneser graphs ... See full document
109
THE RHETORIC OF REFUGEES: LITERACY, NARRATIVE AND IDENTITY FOR SOMALI WOMEN
... on graphs with restricted degree conditions have been obtained (see, for instance, [26] and ...bipartite graphs, finding the existence of a spanning ladder is a way of simultaneously showing the graph ... See full document
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Vertex Even Mean Labeling of New Families of Graphs
... on cycles with zigzag chords, cycles with parallel chords are seen in 2,6,12,14,15 ...of cycles with parallel chords and also new classes of graphs obtained from cycles with parallel ... See full document
12
Improved guarantees for Vertex Sparsification in planar graphs
... Our Techniques. We construct our quality-1 cut and distance sparsifiers by repeatedly performing Wye-Delta transformations, which are local operations that preserve cut values and distances and have proven very powerful ... See full document
15
Edge Colorings of Complete Multipartite Graphs Forbidding Rainbow Cycles
... cycles, is a theorem about certain kinds of Gallai colorings. [The result in [1] follows easily from a characterization of Gallai colorings in general, discussed in [4], of which the authors of [1] were unaware. ... See full document
10
Gaussian Neighborhood Prime Labeling of Some Classes of Graphs and Cycles
... All graphs in this paper are finite undirected graphs without loops or multiple edges. We follow [4] for definition and information on the Gaussian integers. The Gaussian integers, denoted Z[i], are the ... See full document
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