All Questions
6 questions with no upvoted or accepted answers
8
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0
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2k
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What is the best lower bound for the domination number in regular graphs of girth 5?
The following theorem is a classical result (see [Alon and Spencer, The probabilistic method, 2nd ed., Theorem 1.2.2]):
Theorem: Let $G$ be a graph on $n$ vertices with minimum degree $d$. Then $G$ ...
7
votes
0
answers
97
views
What is known about chromatic polynomial of hypergraph at $-1$
Let $H$ be a hypergraph and let $P_H$ denote its chromatic polynomial. I am interested in the best results interpreting $P_H(-1)$. I am interested both in the general case (which I think is hard) as ...
2
votes
0
answers
50
views
An equation involving fractional covering number of hypergraphs
Let $\mathcal{H}=(S,\mathcal{X})$ be a hypergraph, where $S = \{ s_1, \ldots, s_n \}$, and $\mathcal{X} = \{ X_1, \ldots, X_m \}$.
The dual hypergraph $\mathcal{H}^*$ of $\mathcal{H}$ is the ...
1
vote
0
answers
315
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Definition of k-partite hypergraph
I would like to know the standard definition of k-partite hypergraph.
There are two natural generalizations of k-partite graph to k-partite hypergraph:
1. For all edges e, any two vertices in e are ...
0
votes
0
answers
97
views
Shortest hyperpath algorithm in intuitionistic fuzzy hypergraphs
I was looking for an algorithm to calculate the shortest hyperpath in intuitionistic fuzzy hypergraphs and I found only this article (which propose two algorithms).
Are there any others algorithms ...
0
votes
0
answers
71
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products/factoring of two hypergraphs with same vertex set?
all the basic products for graphs have been extended to hypergraphs[1].
is there a concept of a product of hypergraphs with the same vertex set? has this been studied?
normally the hypergraph ...