DISCRETE VOLUME OF THE POSET POLYTOPE FOR A VARIANT OF UP-DOWN POSETS

DISCRETE VOLUME OF THE POSET POLYTOPE FOR A VARIANT OF UP-DOWN POSETS

Discrete volumes of poset polytopes for a variant of up-down posets introduced in [4] were studied. We obtained the generating functions for the discrete volumes of poset polytopes for a variant of up-down poset using the characteristic matrices.

1. Introduction

2. Poset Polytopes

3. Main Results

4. Conclusion

References

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