SpectralGraph

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Contents

• The path-ends derivative does not minimize Kemeny’s edge derivative
• The graph energy game and an unbalanced bipartite obstruction
• Mixed graph matrices and spectral signature
• Cyclic tridiagonal determinants and transfer traces
• Singular multipartite squared-distance Laplacian
• A repeated five-site potential refutes odd-period regularity
• Connected nonnegative conductances on the original finite vertex set
• Fixed resistance does not force an invariant Fiedler maximizer
• The fixed-resistance optimizer on the full labelled K2m family
• The sharp product and its two positive spectral rays
• Original tripartite conductances, trace compression and boundary rigidity
• FourPrimeIdealIntersectionObstructions
• Vertex energies and the maximum-degree bound
• IdealIntersectionObstructions
• IdealIntersectionSupport
• The Steiner characteristic polynomial peaks beyond n minus one
• Even double paths with a nonempty loop set
• Even looped paths allow the non-symmetric Strong Spectral Property
• Directed support obstructions for nSSP
• An order-19 counterexample to the broom spectral-ratio conjecture
• PairedIdealIntersectionCongruence
• PairedIdealIntersectionDeterminants
• PairedIdealIntersectionEndpoints
• PairedIdealIntersectionLift
• PairedIdealIntersectionObstructions
• A repeated value among the wreath eigenvalues
• Regular graph adjacency energy excludes 2k√2
• Reverse level order labeling of a tree
• Weighted-tree cycle row error and sharp constant one
• Six-support quotient, balanced threshold, endpoint applications and integer finiteness
• Zero forcing powers of equal-legged spiders
• Rational symmetric endpoint compatibility
• Tree endpoint moment certificates
• Full block determinant quartets on trees
• Continuant obstruction and coordinate dimensions
• An infinite twin-free theta separating family
• Theta graph structure and metric dimension
• Ordinary zero forcing, symmetric maximum nullity, and minimum rank of unequal-leg spider powers