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| 008 | 260804s2026 ph a b 000 0 eng d | ||
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_aCSPC _beng _cCSPC _erda |
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| 090 | _aUTH BSAM N441f 2026 | ||
| 100 | 1 |
_aNepomuceno, Cielo E., _eauthor. |
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| 245 | 1 | 0 |
_aFold thickness of non-traceable cubic bridge graph / _cCielo E. Nepomuceno, Crystal Jean T. Putian, and Mark Errol T. Red. |
| 300 | _a122 leaves. | ||
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_2rdacontent _atext |
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_2rdamedia _aunmediated |
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_2rdacarrier _avolume |
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_aUndergraduate Thesis (BSAM)- Applied Mathematics. _cCamarines Sur Polytechnic Colleges, 2026. |
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| 504 | _aIncludes bibliographical references. | ||
| 520 | 3 | _aThis study investigates the fold thickness of specific classes of Non-Traceable Cubic Bridge Graphs (NTCBGs), a family previously unexplored in this context. A 1-fold of a graph G is defined by identifying two nonadjacent vertices with a common neighbor and simplifying multiple edges. A uniform k-folding is a sequence of such operations where every resulting graph maintains the same singularity status as G. The fold thickness is the maximum length of such a sequence. Building on the NTCBG constructions introduced by Nieva and Nocum (2022), we determine the fold thickness for central fragment trees (Tq), hairy cycles (Hn). Furthermore, we evaluate their extended forms (Tq,m, Hn,m), which are modified structures obtained by iteratively joining the null graph on two vertices K2 to the end-vertices of these central fragments. We also analyze constructed branches derived from K4 and K3,3. By applying graph folding techniques and analyzing adjacency matrix properties, we establish exact values for the fold thickness of these classes. These results provide new algebraic and structural characterizations for NTCBGs. | |
| 700 | 1 |
_aPutian, Crystal Jean T., _eauthor. |
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| 700 | 1 |
_aRed, Mark Errol T., _eauthor. |
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_aMagtibay, Francis Gerard C., _eadviser. |
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_aJagmis, Jiel Mark D., _echair, panelist. |
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_aNieva, Alex Ralph B., _epanelist. |
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_aNocum, Karen P., _eexternal panelist. |
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_2ddc _n0 _cUM _hN441f _iBSAM _kUTH _m2026 |
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| 999 |
_c32857 _d32857 |
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