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Extending a conjecture of Graham and Lovász on the distance characteristic polynomial.
- Source :
-
Linear Algebra & its Applications . Jul2024, Vol. 693, p63-82. 20p. - Publication Year :
- 2024
-
Abstract
- Graham and Lovász conjectured in 1978 that the sequence of normalized coefficients of the distance characteristic polynomial of a tree of order n is unimodal with the maximum value occurring at ⌊ n 2 ⌋. In this paper we investigate this problem for block graphs. In particular, we prove the unimodality part and we establish the peak for several extremal cases of uniform block graphs with small diameter. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYNOMIALS
*LOGICAL prediction
*DIAMETER
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 693
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 177064680
- Full Text :
- https://doi.org/10.1016/j.laa.2023.03.027