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[PDF] Top 20 Bipartite graphs whose edge algebras are complete intersections

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Bipartite graphs whose edge algebras are complete intersections

Bipartite graphs whose edge algebras are complete intersections

... 3. Bipartite graphs whose edge algebra is a complete intersection We begin this section by producing a minimal set of generators for k[G] where G is bipartite ... See full document

16

Balanced Degree-Magic Labelings of Complete Bipartite Graphs under Binary Operations

Balanced Degree-Magic Labelings of Complete Bipartite Graphs under Binary Operations

... Degree-magic graphs extend supermagic regular ...of graphs obtained by taking the join, composi- tion, Cartesian product, tensor product and strong product of complete bipartite ... See full document

13

Mixed cycle-E-super magic decomposition of complete bipartite graphs

Mixed cycle-E-super magic decomposition of complete bipartite graphs

... super edge- magic graceful graphs to solve some kind of network ...is edge magic graceful if there exists a bijection f : V (G) ∪ E(G) → {1, 2, ...any edge uv of G. G is said to be super ... See full document

16

On the spectral radius of bipartite graphs which are nearly complete

On the spectral radius of bipartite graphs which are nearly complete

... In the literature, upper bounds for the spectral radius in terms of various parameters for unweighted and weighted graphs have been widely investigated [–]. As a special case, in [], Chen et al. studied the ... See full document

5

Vertex Prime Labeling of Union of Complete Bipartite Graphs

Vertex Prime Labeling of Union of Complete Bipartite Graphs

... ABSTRACT: A graph G(V, E) is said to have a vertex prime labeling if its edges can be labeled with distinct integers.. from  1, 2, 3,.[r] ... See full document

7

Partitioning edge coloured complete graphs into monochromatic cycles and paths

Partitioning edge coloured complete graphs into monochromatic cycles and paths

... any edge-colouring of a complete graph with r colours, it is possible to cover all the vertices with r vertex- disjoint monochromatic ...any edge-colouring of a complete graph with three ... See full document

26

Schultz and Modified Schultz Polynomials of Cog-Complete Bipartite Graphs

Schultz and Modified Schultz Polynomials of Cog-Complete Bipartite Graphs

... Abstract: Let G be a simple connected graph, the vertex- set and edge- set of G are denoted by V(G) and E(G), respectively. The molecular graph G, the vertices represent atoms and the edges represent bonds. In ... See full document

6

Edge domination in fuzzy graphs using strong arcs

Edge domination in fuzzy graphs using strong arcs

... strong edge domination in fuzzy graphs. The edge domination number of complete fuzzy graphs and complete fuzzy bipartite graphs are ... See full document

10

On Cartesian Products of Orthogonal Double Covers

On Cartesian Products of Orthogonal Double Covers

... every edge of 𝐻 occurs in exactly two members of G and any two members share an edge whenever the corresponding vertices are adjacent in 𝐻 and share no edges whenever the corresponding vertices are ... See full document

5

The $ k $-${\rm \bf{ th}}$ spectral moment of signed complete graphs

The $ k $-${\rm \bf{ th}}$ spectral moment of signed complete graphs

... Let G = (V (G), E(G)) be a simple graph with the vertex set V (G) and the edge set E(G) where |E(G)| ≥ 1. The order of G is defined to be |V (G)| and if the degree of a vertex u of G is 1, then u is called a ... See full document

10

Approaches for Graphs Near Structural Classes.

Approaches for Graphs Near Structural Classes.

... One final type of lift comes from applying structural rounding as the lifting method. That is, after finding the partial solution in G 0 , run structural rounding again. The precise manner in which this occurs can be ... See full document

94

Bipartite Kneser graphs are Hamiltonian

Bipartite Kneser graphs are Hamiltonian

... of graphs defined by very simple algebraic ...the bipartite Kneser graph (Kneser graphs were introduced by Lovász in his celebrated proof of Kneser’s conjecture ...an edge between any two ... See full document

10

Total Edge Dominating Functions of Corona Product Graph of a Cycle with a Complete Graph

Total Edge Dominating Functions of Corona Product Graph of a Cycle with a Complete Graph

... The bipartite graphs with equal edge domination number and maximum matching cardinality are characterized by Dutton and Klostermeyer [9] while Yannakakis and Gavril [17] have shown that edge ... See full document

5

Super Edge-antimagic Graceful labeling of Graphs

Super Edge-antimagic Graceful labeling of Graphs

... the edge-weights w(xy) = |g(x) + g(y) − g(xy)|, xy ∈ E(G), form an arithmetic progression starting from a and having a common difference ...graceful graphs is a generalization of the article ...Super ... See full document

6

Distinguishing Number and Distinguishing Index of the Join of Two Graphs

Distinguishing Number and Distinguishing Index of the Join of Two Graphs

... The distinguishing number (index) D(G) (D 0 (G)) of a graph G is the least integer d such that G has an vertex labeling (edge labeling) with d labels that is preserved only by a trivial automorphism. In this paper ... See full document

13

Automorphism Groups Of Weakly Semi-Regular Bipartite  Graphs

Automorphism Groups Of Weakly Semi-Regular Bipartite Graphs

... of graphs plays an important role in Graph ...of bipartite graphs which are weakly ...of graphs were considered -SM sum graphs and SM Balancing ...sum graphs are particular cases ... See full document

5

Edge Colorings of Complete Multipartite Graphs Forbidding Rainbow Cycles

Edge Colorings of Complete Multipartite Graphs Forbidding Rainbow Cycles

... encoded by) the (isomorphism classes of) full binary trees with n leafs. In the encoding, the natural Huffman labeling of each tree arising from the assignment of 1 to each leaf plays a role. Very recently, it has been ... See full document

10

Szeged index of bipartite unicyclic graphs

Szeged index of bipartite unicyclic graphs

... The number of vertices of a graph G is denoted by | G | . Let P n and C n be respectively the n -vertex path and cycle. Note that a unicyclic graph is bipartite if and only if its unique cycle length is even. Let ... See full document

12

On eigenvalue inequalities of a matrix whose graph is bipartite

On eigenvalue inequalities of a matrix whose graph is bipartite

... underlying graphs, such a representation ...disconnected bipartite graphs need not be uniquely ...simple graphs, then the bipartite complement of a disconnected bipartite graph ... See full document

12

Algorithmic aspects of bipartite graphs

Algorithmic aspects of bipartite graphs

... so If we take as in Rose and Tarjan [2] an ordering of pivots down the main diagonal F fill-in the then 4 [z,yx,x2,y,...,xs,y], where z,,y corresponds to the entry rn,, of produced by th[r] ... See full document

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